{"id":1857,"date":"2025-12-05T12:49:45","date_gmt":"2025-12-05T11:49:45","guid":{"rendered":"https:\/\/projects.ift.uam-csic.es\/doctorado\/?page_id=1857"},"modified":"2025-12-09T10:19:58","modified_gmt":"2025-12-09T09:19:58","slug":"the-cosmological-constant-problem-and-effective-field-theories-for-dark-energy","status":"publish","type":"page","link":"https:\/\/projects.ift.uam-csic.es\/doctorado\/es\/actividades-formativas\/actividades-2024-2025\/the-cosmological-constant-problem-and-effective-field-theories-for-dark-energy\/","title":{"rendered":"The Cosmological Constant Problem and Effective Field Theories for Dark Energy"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;section&#8221; _builder_version=&#8221;4.16&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2 style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; font-weight: bold; font-size: 40px; line-height: 1.2em;\">The Cosmological Constant Problem and Effective Field Theories for Dark Energy<\/h2>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; disabled_on=&#8221;off|off|off&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div style=\"border: 2px solid #000; border-radius: 15px; padding: 10px; margin-bottom: 10px;\">\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><img decoding=\"async\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f4cd.svg\" alt=\"\" style=\"max-width: 5%;\" \/><br \/><b>IFT UAM\/CSIC<\/b><br \/>Aula Roja | Aula Azul<\/p>\n<\/div>\n<div style=\"border: 2px solid #000; border-radius: 15px; padding: 10px; margin-bottom: 10px;\">\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><img decoding=\"async\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/23f0.svg\" alt=\"\" style=\"max-width: 5%;\" \/><br \/><b>Time<\/b><br \/>10:00-12:00<\/p>\n<\/div>\n<div style=\"border: 2px solid #000; border-radius: 15px; padding: 10px;\">\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><img decoding=\"async\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/16.0.1\/svg\/1f5d3.svg\" alt=\"\" style=\"max-width: 5%;\" \/><br \/><b>Dates<\/b><br \/><b>Aula Roja:<\/b> September 2024 9,10,11,13 | <b>Aula Azul:<\/b> September 2024 12 (only Thursday)<\/p>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_toggle title=&#8221;Abstract&#8221; open_toggle_text_color=&#8221;#000000&#8243; open_toggle_background_color=&#8221;#FFFFFF&#8221; closed_toggle_text_color=&#8221;#000000&#8243; closed_toggle_background_color=&#8221;#e9ac2c&#8221; icon_color=&#8221;#24781a&#8221; toggle_icon=&#8221;&#x50;||divi||400&#8243; open_icon_color=&#8221;#24781a&#8221; open_toggle_icon=&#8221;&#x4f;||divi||400&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; title_text_color=&#8221;#000000&#8243; border_radii=&#8221;on|20px|20px|20px|20px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\">This course provides a pedagogical introduction to Effective Field Theory methods (EFTs) for cosmology and gravitational theories, with a particular focus on theories that have been introduced to explain or tackle cosmic acceleration, dark energy, modified gravity, and the cosmological constant problem. Particular emphasis will be given to how low energy global and local symmetries\u2014be they broken or unbroken\u2014determine and organize the EFT expansion of all such theories both at the classical and quantum level. Where possible focus will be given in simple explicit examples.<\/p>\n<p>[\/et_pb_toggle][et_pb_toggle title=&#8221;Details&#8221; open_toggle_text_color=&#8221;#000000&#8243; open_toggle_background_color=&#8221;#FFFFFF&#8221; closed_toggle_text_color=&#8221;#000000&#8243; closed_toggle_background_color=&#8221;#e9ac2c&#8221; icon_color=&#8221;#24781a&#8221; toggle_icon=&#8221;&#x50;||divi||400&#8243; open_icon_color=&#8221;#24781a&#8221; open_toggle_icon=&#8221;&#x4f;||divi||400&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; title_text_color=&#8221;#000000&#8243; border_radii=&#8221;on|20px|20px|20px|20px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><strong>Lectures 1-2<\/strong>: A brief intro to EFTs and why non-renormalizable theories are renormalizable (at least at low energies). General relativity as the low energy EFT of a massless spin-2 particle, Einstein-Cartan and first-order formulations. Coupling quantized gravity to QFTs, field redefinitions and decoupling limits, 1PI effective actions, loop corrections and the (old) cosmological constant problem.<\/p>\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><strong>Lecture 3<\/strong>: EFTs of dark energy, modified gravity I: scalar-tensor theories, large extra dimensions and branes, EFTs of nonlinearly realized global symmetries (axions, DBI, Galileons, conformal Galileons, k-essence, example UV completions).<\/p>\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><strong>Lecture 4<\/strong>: EFTs of dark energy, modified gravity II: EFTs of spontaneously broken diffeomorphisms (inflation\/quintessence, fluids, solids aka Lorentz-violating massive gravity, Lorentz-invariant massive gravity and its extensions).<\/p>\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\"><strong>Lecture 5<\/strong>: Schwinger-Keldysh formalism, wavefunction of the Universe, cosmological bootstrap and analyticity.<\/p>\n<p style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; color: #000; font-weight: 500;\">The course only requires basic knowledge of quantum field theory (specifically in the path integral formulation) and general relativity. More details on aspects of the course can be found in the book \u201cThe Encyclopaedia of Cosmology\u201d, Set 2: Frontiers in Cosmology: <a href=\"https:\/\/worldscientific.com\/doi\/10.1142\/13578-vol1#t=toc\" target=\"_blank\" rel=\"noopener\">worldscientific.com<\/a><\/p>\n<p>[\/et_pb_toggle][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3 style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 25px;\">Participants<\/h3>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<ul style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; font-weight: 500;\/\">\n<li>Aoufia, Christian<\/li>\n<li>Castellano Mora, Alberto<\/li>\n<li>Fern\u00e1ndez Casas, Gonzalo<\/li>\n<li>Gamb\u00edn Egea, Jes\u00fas<\/li>\n<li>Garc\u00eda Romeu, Pau<\/li>\n<li>Huertas Castellanos, Jes\u00fas<\/li>\n<li>Martin Barandiaran, Mikel<\/li>\n<li>Morr\u00e1s Guti\u00e9rrez, Gonzalo<\/li>\n<li>Paoloni, Lorenzo<\/li>\n<li>Sebastian Olex, Edward<\/li>\n<li>Tartaglia, Michelangelo<\/li>\n<li>Velasco Aja, Eduardo<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<ul style=\"font-family: 'Montserrat',Helvetica,Arial,Lucida,sans-serif; line-height: 1.4em; font-size: 100%; font-weight: 500;\">\n<li>Caldarola, Marienza<\/li>\n<li>Cielo, Mattia<\/li>\n<li>Fern\u00e1ndez Tejedor, Jaime<\/li>\n<li>G\u00f3mez-Fayr\u00e9n de las Heras, Carmen<\/li>\n<li>Grieco, Alessandra<\/li>\n<li>Lozano Onrubia, \u00c1lvaro<\/li>\n<li>Melotti, Luca<\/li>\n<li>Ocampo Justiniano, Indira Yasmin<\/li>\n<li>Ruiz Garc\u00eda, Ignacio<\/li>\n<li>S\u00e1nchez Ruiz, Irene<\/li>\n<li>Valero Bento, Bruno<\/li>\n<li>Zenteno Gatica, Crist\u00f3bal<\/li>\n<ul><\/ul>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_button button_url=&#8221;https:\/\/www.worldscientific.com\/doi\/10.1142\/13578-vol1#t=toc&#8221; url_new_window=&#8221;on&#8221; button_text=&#8221;The Encyclopaedia of Cosmology&#8221; disabled_on=&#8221;off|off|off&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_button=&#8221;on&#8221; button_text_size=&#8221;16px&#8221; button_text_color=&#8221;#000000&#8243; button_bg_color=&#8221;rgba(224,153,0,0.67)&#8221; button_border_width=&#8221;2px&#8221; button_border_color=&#8221;#000000&#8243; button_border_radius=&#8221;10px&#8221; button_font=&#8221;&#8211;et_global_body_font|700|||||||&#8221; button_icon=&#8221;&#xf101;||fa||900&#8243; button_icon_color=&#8221;#000000&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_button][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Cosmological Constant Problem and Effective Field Theories for Dark Energy IFT UAM\/CSICAula Roja | Aula Azul Time10:00-12:00 DatesAula Roja: September 2024 9,10,11,13 | Aula Azul: September 2024 12 (only Thursday) This course provides a pedagogical introduction to Effective Field Theory methods (EFTs) for cosmology and gravitational theories, with a particular focus on theories that [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1807,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<!-- wp:html -->\n<!-- Switch EN arriba del contenido -->\n<div class=\"pdft-lang-switch-wrap\">\n  <a href=\"https:\/\/projects.ift.uam-csic.es\/doctorado\/index.php\/en\/doctoral-training-activities\/\"\n     class=\"pdft-lang-switch\"\n     lang=\"en\" hreflang=\"en-GB\"\n     aria-label=\"Switch to English (UK)\">\n    <span class=\"flag\" aria-hidden=\"true\">\n      <svg viewBox=\"0 0 60 36\" width=\"18\" height=\"12\" role=\"img\" aria-label=\"UK flag\">\n        <rect width=\"60\" height=\"36\" fill=\"#012169\"\/>\n        <path d=\"M0,0 60,36 M60,0 0,36\" stroke=\"#FFF\" stroke-width=\"8\"\/>\n        <path d=\"M0,0 60,36 M60,0 0,36\" stroke=\"#C8102E\" stroke-width=\"4\"\/>\n        <rect x=\"26\" width=\"8\" height=\"36\" fill=\"#FFF\"\/>\n        <rect y=\"14\" width=\"60\" height=\"8\" fill=\"#FFF\"\/>\n        <rect x=\"27\" width=\"6\" height=\"36\" fill=\"#C8102E\"\/>\n        <rect y=\"15\" width=\"60\" height=\"6\" fill=\"#C8102E\"\/>\n      <\/svg>\n    <\/span>\n    <strong>EN<\/strong>\n  <\/a>\n<\/div>\n\n<style>\n.pdft-lang-switch-wrap{\n  display:block; 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flex-wrap:wrap; gap:12px;\n    justify-content:center;      \/* centrado horizontal *\/\n  }\n  #actividades-programa .btn-row .btn{ padding:.7rem 1.1rem; }\n\n  \/* Utilidades *\/\n  #actividades-programa .center{ display:flex; justify-content:center; }\n  #actividades-programa .mt-8{ margin-top:.8rem; }\n<\/style>\n<\/head>\n<body>\n<section id=\"actividades-programa\" aria-label=\"Actividades formativas\">\n  <div class=\"grid\">\n\n    <!-- BLOQUE 1: IFT por semestres -->\n    <div class=\"card\">\n      <h2 class=\"title\">Actividades Formativas IFT<\/h2>\n      <p class=\"subtitle\">Elige por semestre o consulta el hist\u00f3rico.<\/p>\n\n      <div class=\"semesters\" role=\"group\" aria-label=\"Semesters 2025\/2026\">\n        <a class=\"btn\" href=\"https:\/\/projects.ift.uam-csic.es\/doctorado\/index.php\/2025\/08\/26\/actividades-formativas\/?preview=true\" aria-label=\"First Semester\">First Semester<\/a>\n        <a class=\"btn\" href=\"#\" aria-label=\"Second Semester\">Second Semester<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- BLOQUE 2: Curso 2024\/2025 -->\n    <div class=\"card\">\n      <h2 class=\"title\">Curso 2024\/2025<\/h2>\n      <p class=\"subtitle\">Consulta todas las actividades del curso pasado.<\/p>\n      <div class=\"center mt-8\">\n        <a class=\"btn-xxl\" href=\"https:\/\/projects.ift.uam-csic.es\/doctorado\/index.php\/2025\/08\/26\/actividades-formativas-2024-2025\/\" aria-label=\"Ver actividades 2024\u20132025\">\n          Ver actividades 2024\u20132025\n        <\/a>\n      <\/div>\n    <\/div>\n\n    <!-- BLOQUE 3: Transversales -->\n    <div class=\"card\">\n      <h2 class=\"title\">Actividades Formativas Transversales<\/h2>\n      <p class=\"subtitle\">Recursos comunes a todos los programas de posgrado.<\/p>\n      <div class=\"btn-row\">\n        <a class=\"btn\" href=\"https:\/\/www.uam.es\/EscuelaDoctorado\/es-es-actividades-formativas-transversales-2024-2025\/1446851454889.htm?language=es_ES\" aria-label=\"EDUAM\">EDUAM<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- BLOQUE 4: Seminarios y conferencias -->\n    <div class=\"card\">\n      <h2 class=\"title\">Seminarios y conferencias<\/h2>\n      <p class=\"subtitle\">Agenda de seminarios y conferencias del programa.<\/p>\n      <div class=\"btn-row\">\n        <a class=\"btn\" href=\"#\" aria-label=\"Seminarios DFT\">DFT<\/a>\n        <a class=\"btn\" href=\"#\" aria-label=\"Seminarios IFT\">IFT<\/a>\n      <\/div>\n    <\/div>\n\n  <\/div>\n<\/section>\n<\/body>\n<\/html>\n<!-- \/wp:html -->","_et_gb_content_width":"","footnotes":""},"class_list":["post-1857","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/pages\/1857","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/comments?post=1857"}],"version-history":[{"count":6,"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/pages\/1857\/revisions"}],"predecessor-version":[{"id":1885,"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/pages\/1857\/revisions\/1885"}],"up":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/pages\/1807"}],"wp:attachment":[{"href":"https:\/\/projects.ift.uam-csic.es\/doctorado\/wp-json\/wp\/v2\/media?parent=1857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}