On the Use of a Curved Momentum Space to Construct Nonlocal Quantum Field Theory

1974 ◽  
pp. 1-20
Author(s):  
I. E. Tamm ◽  
V. B. Vologodskii
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Momentum Space ◽  
Quantum Field ◽  
Nonlocal Quantum

scholarly journals The Dirac Sea, T and C Symmetry Breaking, and the Spinor Vacuum of the Universe

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 124
Author(s):  
Vadim Monakhov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Symmetry Breaking ◽  
Momentum Space ◽  
Quantum Field ◽  
Conjugation Operator ◽  
Dirac Sea ◽  
Canonical Anticommutation Relations ◽  
The Universe ◽  
Dirac Conjugation

We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra) of Grassmann densities in the momentum space. We have proven the existence of two spinor vacua. Operators C and T transform the normal vacuum into an alternative one, which leads to the breaking of the C and T symmetries. The CPT is the real structure operator; it preserves the normal vacuum. We have proven that, in the theory of the Dirac Sea, the formula for the charge conjugation operator must contain an additional generalized Dirac conjugation operator.

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.

Composite bosons in nonlocal quantum field theory withZ 3≈1. — II

1970 ◽  
Vol 4 (21) ◽  
pp. 955-958
Author(s):  
M. La Camera ◽  
A. Wataghin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Composite Bosons ◽  
Nonlocal Quantum

Nonlocal quantum field theory

1966 ◽  
Vol 90 (9) ◽  
pp. 129-142 ◽  
Author(s):  
D.A. Kirzhnits
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Nonlocal Quantum

ORIGIN OF FERMION MASSES

1991 ◽  
Vol 06 (40) ◽  
pp. 3697-3704
Author(s):  
J. W. MOFFAT
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Integral Equations ◽  
Mass Spectra ◽  
Coupling Constants ◽  
Quantum Field ◽  
Fermion Masses ◽  
The Standard Model ◽  
Baryon Mass ◽  
Nonlocal Quantum

An eigenvalue equation for the spectrum of lepton and quark is obtained from a truncated set of Tamm-Dancoff integral equations, generated by a four-fermion interaction based on a finite nonlocal quantum field theory. Eigenvalue equations for the meson and baryon mass spectra are also derived and integral equations are proposed for the scattering amplitudes, which can be used to calculate coupling constants in the nonlocal version of the standard model.

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