scholarly journals Discrete-time quantum field theory and the deformed super-Virasoro algebra

2004 ◽  
Vol 322 (3-4) ◽  
pp. 156-165 ◽  
Author(s):  
M Chaichian ◽  
P Prešnajder
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Discrete Time ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Time Quantum

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

Momentum space techniques for curved space–time quantum field theory

1979 ◽  
Vol 367 (1728) ◽  
pp. 123-141 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Momentum Space ◽  
Nuclear Physics ◽  
Space Time ◽  
Coordinate Space ◽  
Quantum Field ◽  
Curved Space ◽  
Time Quantum ◽  
Space Formulation

A momentum space formulation of curved space–time quantum field theory is presented. Such a formulation allows the riches of momentum space calculational techniques already existing in nuclear physics to be exploited in the application of quantum field theory to cosmology and astrophysics. It is demonstrated that one such technique can allow exact, or very accu­rate approximate, results to be obtained in cases which are intractable in coordinate space. An efficient method of numerical solution is also described.

scholarly journals The relation between quantum and classical field theory with a classical source

2020 ◽  
Vol 476 (2243) ◽  
pp. 20200656
Author(s):  
S. A. Fulling ◽  
A. G. S. Landulfo ◽  
G. E. A. Matsas
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Classical Field Theory ◽  
Classical Field ◽  
Quantum Field ◽  
Schwarzschild Solution ◽  
Classical Source ◽  
Time Quantum ◽  
Perturbative Quantum ◽  
Classical Picture

Classical field theory is about fields and how they behave in space–time. Quantum field theory, in practice, usually seems to be about particles and how they scatter. Nevertheless, classical fields must emerge from quantum field theory in appropriate limits, and Michael Duff showed how this happens for the Schwarzschild solution in perturbative quantum gravity. In a series of papers, we and others have shown how classical radiation from an accelerated charge emerges from quantum field theory when the Unruh thermal effect is taken into account. Here, we sharpen those conclusions by showing that, even at finite times, the quantum picture is meaningful and is in close agreement with the classical picture.

Noncommutative quantum field theory: unitarity and discrete time

2001 ◽  
Vol 515 (3-4) ◽  
pp. 426-430 ◽  
Author(s):  
M. Chaichian ◽  
A. Demichev ◽  
P. Prešnajder ◽  
A. Tureanu
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Discrete Time ◽  
Quantum Field ◽  
Noncommutative Quantum Field Theory ◽  
Noncommutative Quantum

scholarly journals COMMENT ON FERMION PROPAGATOR IN REAL-TIME QUANTUM-FIELD THEORY AT FINITE TEMPERATURE AND DENSITY

2002 ◽  
Vol 17 (05) ◽  
pp. 303-308 ◽  
Author(s):  
A. NIÉGAWA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Green Function ◽  
Finite Temperature ◽  
Standard Form ◽  
Quark Propagator ◽  
The Other ◽  
Quantum Field ◽  
Fermion Propagator ◽  
Time Quantum

Two forms are available for the fermion propagator at finite temperature and density. It is shown that, when one deals with a diquark-condensation-operator inserted Green function in hot and dense QCD, the standard form of the quark propagator does not work. On the other hand, another form of the quark propagator does work.

W-EXTENSIONS OF THE FRAPPAT et al. SYMMETRIES AND FIELD THEORETICAL REALIZATIONS ON THE TORUS

1995 ◽  
Vol 10 (32) ◽  
pp. 2455-2469 ◽  
Author(s):  
E.H. SAIDI ◽  
M.B. SEDRA ◽  
A. SERHANI
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Special Cases

A new extension of the standard Virasoro algebra as well as its W-generalizations containing the Antoniadis et al. and Frappat et al. symmetries (Refs. 8 and 9 as special cases), are obtained. The fundamentals of the quantum field theory representation of the Frappat et al. symmetry are given. Other remarkable properties are also discussed.

Multi-time Quantum Field Theory

2020 ◽  
pp. 41-53
Author(s):  
Matthias Lienert ◽  
Sören Petrat ◽  
Roderich Tumulka
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Time Quantum
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