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 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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