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Some analytical results can also be obtained if one makes certain assumptions about the nature of highly excited energy eigenstates. The original 1994 paper on the ETH by Mark Srednicki studied, in particular, the example of a quantum hard sphere gas in an insulated box. This is a system which is known to exhibit chaos classically. [1]
The study of such theories is conformal field theory. The coupling parameters of a quantum field theory can run even if the corresponding classical field theory is scale-invariant. In this case, the non-zero beta function tells us that the classical scale invariance is anomalous.
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. [ 1 ] : xi QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of quasiparticles .
An Introduction to Quantum Field Theory, Westview Press. Srednicki, Mark (2007). Quantum Field Theory Archived 2011-07-25 at the Wayback Machine, Cambridge University Press, ISBN 978-0-521-86449-7. Weinberg, Steven (1995). The Quantum Theory of Fields, (3 volumes) Cambridge University Press.
An Introduction to Quantum Field Theory, Westview Press. (See pages 35–63.) Srednicki, Mark (2007). Quantum Field Theory Archived 2011-07-25 at the Wayback Machine, Cambridge University Press, ISBN 978-0-521-86449-7. Weinberg, Steven (1995). The Quantum Theory of Fields, (3 volumes) Cambridge University Press.
This is a list of quantum field theories. The first few sections are organized according to their matter content, that is, the types of fields appearing in the theory. This is just one of many ways to organize quantum field theories, but reflects the way the subject is taught pedagogically.
In theoretical physics, scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation. [1] The only fundamental scalar quantum field that has been observed in nature is the Higgs field.
In quantum field theory, the Lehmann–Symanzik–Zimmermann (LSZ) reduction formula is a method to calculate S-matrix elements (the scattering amplitudes) from the time-ordered correlation functions of a quantum field theory.