Abstract
A quantum field theory (QFT) is an extension of the principles of quantum mechanics to fields based on the wave properties of matter. It is generally accepted that QFT is an appropriate framework for describing the interaction between infinitely many degrees of freedom. It is the natural language of particle physics and condensed matter physics with applications ranging from the Standard Model of elementary particles and their interactions to the description of critical phenomena and phase transitions, such as in the theory of superconductivity.
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References
M. Born, P. Jordan, Zur Quantenmechanik. Z. Phys. 34, 858 (1925)
M. Born, W. Heisenberg, P. Jordan, Zur Quantenmechanik II. Z. Phys. 35, 557 (1926)
P.A.M. Dirac, The quantum theory of emission and absorption of radiation. Roc. Roy. Soc. London A 114, 243 (1927)
P. Jordan, W. Pauli, Zur Quantenelektrodynamik. Z. Phys. 47, 151 (1928)
W. Heisenberg, W. Pauli, Zur Quantendynamik der Wellenfelder I. Z. Phys. 56, 1 (1929)
W. Heisenberg, W. Pauli, Zur Quantendynamik der Wellenfelder II. Z. Phys. 59, 168 (1930)
F.J. Dyson, The S-matrix in quantum electrodynamics. Phys. Rev. 75, 1736 (1949)
J. Schwinger, On the Euclidean structure of relativistic field theory. Proc. Natl. Acad. Sci. USA 44, 956 (1958)
K. Symanzik, Euclidean quantum field theory, I. Equations for a scalar model. J. Math. Phys. 7, 510 (1966)
C.N. Yang, R.L. Mills, Conservation of isotopic spin and isotopic gauge invariance. Phys. Rev. 96, 191 (1954)
S.L. Glashow, Partial-symmetries of weak interaction. Nucl. Phys. 22, 579 (1961)
S. Weinberg, A model of leptons. Phys. Rev. Lett. 19, 1264 (1964)
A. Salam, Weak and electromagnetic interactions, in Elementary Particle Theory (Almquist and Wiksell, Stockholm, 1968)
G. ’t Hooft, Renormalizable Lagrangians for massive Yang-Mills fields. Nucl. Phys. B35, 167 (1971)
H. Fritzsch, M. Gell-Mann, H. Leutwyler, Advantages of the color octet gluon picture. Phys. Lett. B47, 365 (1973)
R. Feynman, Spacetime approach to non-relativistic quantum mechanic. Rev. Mod. Phys. 20, 267 (1948)
F.J. Wegner, Duality in generalized Ising models and phase transitions without local order parameters. J. Math. Phys. 10, 2259 (1971)
K.G. Wilson, Confinement of quarks. Phys. Rev. D10, 2445 (1974)
M. Creutz, Confinement and the critical dimensionality of spacetime. Phys. Rev. Lett. 43, 553 (1979)
M. Creutz, Monte Carlo simulations in lattice gauge theories. Phys. Rep. 95, 201 (1983)
S. Weinberg, The Quantum Theory of Fields, Volume 1: Foundations (Cambridge University Press, Cambridge, 2005)
M. Maggiore, A Modern Introduction to Quantum Field Theory (Oxford University Press, Oxford, 2005)
G. Münster, Von der Quantenfeldtheorie zum Standardmodell: Eine Einführung in die Teilchenphysik (De Gruyter, Berlin, 2019)
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 5th edn. (Oxford University Press, Oxford, 2021)
R. Shankar, Quantum Field Theory and Condensed Matter: An Introduction (Cambridge University Press, Cambridge, 2017)
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Wipf, A. (2021). Introduction. In: Statistical Approach to Quantum Field Theory. Lecture Notes in Physics, vol 992. Springer, Cham. https://doi.org/10.1007/978-3-030-83263-6_1
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DOI: https://doi.org/10.1007/978-3-030-83263-6_1
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