Energy‐particle‐number inequality in nonlinear complex‐scalar field theory

1981 ◽  
Vol 22 (3) ◽  
pp. 489-490
Author(s):  
Gerald Rosen
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Particle Number ◽  
Energy Particle ◽  
Scalar Field Theory ◽  
Complex Scalar ◽  
Complex Scalar Field

scholarly journals Generative Model Study for 1+1d-Complex Scalar Field Theory

2021 ◽  
Author(s):  
Kai Zhou ◽  
Gergely Endrodi ◽  
Long-Gang Pang ◽  
Horst Stoecker
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Generative Model ◽  
Scalar Field Theory ◽  
Complex Scalar ◽  
Model Study ◽  
Complex Scalar Field ◽  
1D Complex

Neural Network Study for 1+1d-Complex Scalar Field Theory

2021 ◽  
Vol 1005 ◽  
pp. 121847
Author(s):  
Kai Zhou ◽  
Gergely Endrődi ◽  
Long-Gang Pang ◽  
Horst Stöcker
Keyword(s):  
Neural Network ◽  
Field Theory ◽  
Scalar Field ◽  
Scalar Field Theory ◽  
Complex Scalar ◽  
Complex Scalar Field ◽  
1D Complex

scholarly journals NON-MARKOVIAN SOURCE TERM FOR PARTICLE PRODUCTION BY A SELF-INTERACTING SCALAR FIELD IN THE LARGE-N APPROXIMATION

2005 ◽  
Vol 20 (14) ◽  
pp. 1087-1101
Author(s):  
FUAD M. SARADZHEV
Keyword(s):  
Scalar Field ◽  
Particle Production ◽  
Particle Number ◽  
Source Term ◽  
Particle Number Density ◽  
Back Reaction ◽  
Number Density ◽  
Complex Scalar ◽  
Large N ◽  
Complex Scalar Field

The particle production in the self-interacting N-component complex scalar field theory is studied at large N. A non-Markovian source term that includes all higher order back-reaction and collision effects is derived. The kinetic amplitudes accounting for the change in the particle number density caused by collisions are obtained. It is shown that the production of particles is symmetric in the momentum space. The problem of renormalization is briefly discussed.

scholarly journals ON THE STRUCTURE OF COHOMOLOGICAL MODELS OF ELECTRODYNAMICS AND GENERAL RELATIVITY

2020 ◽  
Vol 17 (2) ◽  
pp. 146-152
Author(s):  
V.V. Arkhipov V.V. ◽  
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Riemannian Manifold ◽  
Scalar Field ◽  
Quadratic Forms ◽  
Inner Product ◽  
Complex Scalar ◽  
Klein Gordon ◽  
Complex Scalar Field

In the present paper, we take case of a complex scalar field on a Riemannian manifold and study diff erential geometry and cohomological way to construct field theory Lagrangians. The total Lagrangian of the model is proposed as 4-form on Riemannian manifold. To this end, we use inner product of differential (p, q)-forms and Hodge star operators. It is shown that actions, including that for gravity, can be represented in quadratic forms of fields of matter and basic tetrad fields. Our study is limited to the case of the Levi-Civita metric. We stress some features arisen within the approach regarding nil potency property. Within the model, Klein-Gordon, Maxwell and general relativity actions have been reproduced.

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