Quantum Field Theory: Mathematical Structure, Physical Foundations, and Contemporary Trajectories

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Autore principale: Deldar, Hadis
Natura: Recurso digital
Lingua:inglese
Pubblicazione: Zenodo 2025
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author Deldar, Hadis
author_facet Deldar, Hadis
contents <p>This article offers a comprehensive and high-level academic exposition of Quantum Field Theory (QFT), examining its mathematical foundations, physical principles, and contemporary directions. It systematically explores canonical and path integral quantization, gauge field dynamics, renormalization, and spontaneous symmetry breaking, while also addressing modern frameworks such as conformal field theory (CFT), topological QFT (TQFT), and the AdS/CFT correspondence. With rigorous formalism and emphasis on the deep interplay between geometry, topology, and quantum dynamics, this work aims to contextualize QFT not only as the backbone of the Standard Model but also as a central paradigm in emerging areas like quantum gravity and quantum information theory. Suitable for researchers and advanced students in theoretical physics.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_16014434
institution Zenodo
language eng
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Quantum Field Theory: Mathematical Structure, Physical Foundations, and Contemporary Trajectories
Deldar, Hadis
Quantum field theory
Canonical Quantization
Path Integral Formalism
Topological Quantum Field Theory (TQFT)
Conformal Field Theory (CFT)
Quantum Electrodynamics (QED)
Quantum Chromodynamics (QCD)
<p>This article offers a comprehensive and high-level academic exposition of Quantum Field Theory (QFT), examining its mathematical foundations, physical principles, and contemporary directions. It systematically explores canonical and path integral quantization, gauge field dynamics, renormalization, and spontaneous symmetry breaking, while also addressing modern frameworks such as conformal field theory (CFT), topological QFT (TQFT), and the AdS/CFT correspondence. With rigorous formalism and emphasis on the deep interplay between geometry, topology, and quantum dynamics, this work aims to contextualize QFT not only as the backbone of the Standard Model but also as a central paradigm in emerging areas like quantum gravity and quantum information theory. Suitable for researchers and advanced students in theoretical physics.</p>
title Quantum Field Theory: Mathematical Structure, Physical Foundations, and Contemporary Trajectories
topic Quantum field theory
Canonical Quantization
Path Integral Formalism
Topological Quantum Field Theory (TQFT)
Conformal Field Theory (CFT)
Quantum Electrodynamics (QED)
Quantum Chromodynamics (QCD)
url https://doi.org/10.5281/zenodo.16014434