{"id":1318,"date":"2025-08-08T14:48:03","date_gmt":"2025-08-08T14:48:03","guid":{"rendered":"https:\/\/projects.ift.uam-csic.es\/master\/?p=1318"},"modified":"2025-09-03T14:17:04","modified_gmt":"2025-09-03T14:17:04","slug":"quantum-field-theory-qft","status":"publish","type":"post","link":"https:\/\/projects.ift.uam-csic.es\/master\/quantum-field-theory-qft\/","title":{"rendered":"Quantum Field Theory (QFT)"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Academic Team<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/members.ift.uam-csic.es\/cpena\/\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-1024x576.png\" alt=\"\" class=\"wp-image-1505\" srcset=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-1024x576.png 1024w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-300x169.png 300w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-768x432.png 768w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-1536x864.png 1536w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-2048x1152.png 2048w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-46-1200x675.png 1200w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/a><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Course Content<\/h2>\n\n\n\n<p><strong>Type: Compulsory\u2013 PEC Track \u2013 1st Trimeste<\/strong>r<\/p>\n\n\n\n<p>This course introduces <strong>Quantum Field Theory (QFT)<\/strong> in the operator formalism, providing the essential tools to describe interactions among elementary particles. Beginning with the quantization of scalar and spinor fields, students progress to <strong>Quantum Electrodynamics (QED)<\/strong>, symmetry principles, and an introduction to non-abelian gauge theories. The course blends conceptual foundations with practical computational techniques, including Feynman diagrams, scattering amplitudes, and renormalization.<\/p>\n\n\n\n<p><strong>Main Topics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Foundations of QFT<\/strong> \u2013 Motivation, connection between quantum mechanics and special relativity, spin\u2013statistics, locality, and causality.<\/li>\n\n\n\n<li><strong>Scalar Fields<\/strong> \u2013 Canonical quantization, propagators, vacuum energy, Casimir effect, and interactions in scalar theories (\u03bb\u03d5\u2074, Yukawa).<\/li>\n\n\n\n<li><strong>Spinor Fields<\/strong> \u2013 Dirac and Weyl equations, chirality, Majorana fermions, fermion quantization, and Feynman rules for fermions.<\/li>\n\n\n\n<li><strong>Quantum Electrodynamics (QED)<\/strong> \u2013 Gauge invariance, quantization of the electromagnetic field, QED Feynman rules, key scattering processes (Bhabha, Compton), and loop corrections.<\/li>\n\n\n\n<li><strong>Renormalization<\/strong> \u2013 Power counting, divergences, dimensional regularization, and electron self-energy.<\/li>\n\n\n\n<li><strong>Non-Abelian Gauge Theories<\/strong> \u2013 Lagrangians for gauge fields and fermions, gauge invariance, running couplings, and asymptotic freedom.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Reading List<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em>An Introduction to Quantum Field Theory<\/em>, M.E. Peskin and D.V. Schroeder. Addison-Wesley Pub. Co. (1995).<\/li>\n\n\n\n<li><em>The Quantum Theory of Fields<\/em>, Vols. I and II, S. Weinberg. Cambridge Univ Press (1995). Curso 2018-2019.<\/li>\n\n\n\n<li><em>Quantum Field Theory in a Nutshell<\/em>, A. Zee. Princeton University (2003).<\/li>\n\n\n\n<li><em>Quantum Field Theory<\/em>, M. Srednicki. Cambridge Univ Press (2007).<\/li>\n\n\n\n<li><em>Modern Quantum Field Theory<\/em>, T. Banks. Cambridge Univ Press (2008).<\/li>\n\n\n\n<li><em>Quantum Field Theory<\/em>, C. Itzykson and J.B. Zuber. McGraw Hill (1980).<\/li>\n\n\n\n<li><em>Field Theory: a Modern Primer<\/em>, P. Ramond. Benjamin (1981).<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Teaching Plan Information<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/drive.google.com\/file\/d\/1ta8gjgNkhOK7tW6oFdWArc_nE3TdKWQg\/view?usp=drive_link\"><img decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-1024x576.png\" alt=\"\" class=\"wp-image-1470\" style=\"width:355px;height:auto\" srcset=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-1024x576.png 1024w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-300x169.png 300w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-768x432.png 768w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-1536x864.png 1536w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-2048x1152.png 2048w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-21-3-1200x675.png 1200w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/a><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">Course Schedule<br><a href=\"https:\/\/drive.google.com\/file\/d\/1A9sAQdsDmyDm9nx3G7N9ZQEJW9CKE9Uf\/view?usp=drive_link\"><\/a><\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/drive.google.com\/file\/d\/1r-RhyerqIKhD8OiP9Du36V49t8MW_oBz\/view?usp=drive_link\"><img decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-1024x576.png\" alt=\"\" class=\"wp-image-1471\" style=\"width:344px;height:auto\" srcset=\"https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-1024x576.png 1024w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-300x169.png 300w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-768x432.png 768w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-1536x864.png 1536w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-2048x1152.png 2048w, https:\/\/projects.ift.uam-csic.es\/master\/wp-content\/uploads\/2025\/08\/Asignaturas-master-20-4-1200x675.png 1200w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Academic Team Course Content Type: Compulsory\u2013 PEC Track \u2013 1st Trimester This course introduces Quantum Field Theory (QFT) in the operator formalism, providing the essential tools to describe interactions among elementary particles. Beginning with the quantization of scalar and spinor fields, students progress to Quantum Electrodynamics (QED), symmetry principles, and an introduction to non-abelian gauge &hellip; <a href=\"https:\/\/projects.ift.uam-csic.es\/master\/quantum-field-theory-qft\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Quantum Field Theory (QFT)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1318","post","type-post","status-publish","format-standard","hentry","category-sin-categoria"],"_links":{"self":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/comments?post=1318"}],"version-history":[{"count":3,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1318\/revisions"}],"predecessor-version":[{"id":1507,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/posts\/1318\/revisions\/1507"}],"wp:attachment":[{"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/media?parent=1318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/categories?post=1318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/master\/wp-json\/wp\/v2\/tags?post=1318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}