scholarly journals Noether’s Theorem in Non-Local Field Theories

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 35
Author(s):  
Mikhail I. Krivoruchenko ◽  
Arman Tursunov
Keyword(s):  
Local Field ◽  
Vector Current ◽  
Internal Symmetry ◽  
Momentum Density ◽  
Charge Conjugation ◽  
Field Theories ◽  
Field Equations ◽  
Charged Scalar ◽  
Non Local ◽  
Charge Conjugation Parity

Explicit expressions are constructed for a locally conserved vector current associated with a continuous internal symmetry and for energy-momentum and angular-momentum density tensors associated with the Poincaré group in field theories with higher-order derivatives and in non-local field theories. We consider an example of non-local charged scalar field equations with broken C (charge conjugation) and CPT (charge conjugation, parity, and time reversal) symmetries. For this case, we find simple analytical expressions for the conserved currents.

Thermodynamics and cosmological constant of non-local field theories from p-adic strings

2010 ◽  
Vol 2010 (10) ◽  
Author(s):  
Tirthabir Biswas ◽  
Jose A. R. Cembranos ◽  
Joseph I. Kapusta
Keyword(s):  
Cosmological Constant ◽  
Local Field ◽  
Field Theories ◽  
Non Local

scholarly journals Non-local field theories and the non-commutative torus

1998 ◽  
Vol 430 (3-4) ◽  
pp. 237-241 ◽  
Author(s):  
Micha Berkooz
Keyword(s):  
Local Field ◽  
Field Theories ◽  
Non Local

scholarly journals Universality of Hawking radiation in non local field theories

2019 ◽  
Vol 791 ◽  
pp. 319-322 ◽  
Author(s):  
Nirmalya Kajuri ◽  
Dawood Kothawala
Keyword(s):  
Local Field ◽  
Hawking Radiation ◽  
Field Theories ◽  
Non Local

scholarly journals Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs

2021 ◽  
Vol 24 (2) ◽  
Author(s):  
Johannes Thürigen
Keyword(s):  
Hopf Algebra ◽  
Local Field ◽  
Broad Class ◽  
Feynman Diagrams ◽  
Field Theories ◽  
Quantum Field ◽  
Random Geometry ◽  
Perturbative Renormalization ◽  
Non Local ◽  
Perturbative Quantum

AbstractRenormalization in perturbative quantum field theory is based on a Hopf algebra of Feynman diagrams. A precondition for this is locality. Therefore one might suspect that non-local field theories such as matrix or tensor field theories cannot benefit from a similar algebraic understanding. Here I show that, on the contrary, perturbative renormalization of a broad class of such field theories is based in the same way on a Hopf algebra. Their interaction vertices have the structure of graphs. This gives the necessary concept of locality and leads to Feynman diagrams defined as “2-graphs” which generate the Hopf algebra. These results set the stage for a systematic study of perturbative renormalization as well as non-perturbative aspects, e.g. Dyson-Schwinger equations, for a number of combinatorially non-local field theories with possible applications to random geometry and quantum gravity.

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