scholarly journals The Higgs mechanism in nonlocal field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Leonardo Modesto
Keyword(s):  
Field Theory ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Higgs Mechanism ◽  
Local Theory ◽  
Perturbative Order ◽  
Local Field Theory ◽  
Nonlocal Field Theory ◽  
Nonlocal Action ◽  
Nonlocal Field

Abstract We provide an example of nonlocal scalar electrodynamics that allows the same Higgs mechanism so successful in local field theory. The nonlocal action is structured in order to have the same exact solutions and the same equations of motion for perturbations of the local theory, at any perturbative order. Therefore, the perturbative degrees of freedom that propagate in the unstable vacuum are reshuffled when the stable vacuum is replaced in the EoM, but their number does not change at any perturbative order, and their properties are the same like in the usual local theory. Finally, the theory is superrenormalizable or finite at quantum level.

scholarly journals NONLOCAL FIELD THEORY DRIVEN BY A DEFORMED PRODUCT: GENERALIZATION OF KALB–RAMOND DUALITY

2009 ◽  
Vol 06 (02) ◽  
pp. 201-218 ◽  
Author(s):  
ELISABETTA DI GREZIA ◽  
GIAMPIERO ESPOSITO ◽  
GENNARO MIELE
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Nonlocal Theory ◽  
Local Field Theory ◽  
Standard Product ◽  
Nonlocal Field Theory ◽  
Nonlocal Field

A modification of the standard product used in local field theory by means of an associative deformed product is proposed. We present a class of deformed products, one for every spin S = 0, 1/2, 1, that induces a nonlocal theory, displaying different form for different fields. This type of deformed product is naturally supersymmetric and it has an intriguing duality.

LOOP CALCULATIONS IN TWO-DIMENSIONAL NONLOCAL FIELD THEORIES

1992 ◽  
Vol 07 (23) ◽  
pp. 5891-5915 ◽  
Author(s):  
M.T. GRISARU ◽  
P. VAN NIEUWENHUIZEN
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Momentum Space ◽  
Field Theories ◽  
Two Dimensional ◽  
Local Field Theory ◽  
Nonlocal Action ◽  
Nonlocal Field

We perform one-loop calculations in chiral induced W3 gravity in momentum space. Unlike a previous one-loop calculation in x space, which reduced the problem to one in local field theory, we work directly with the nonlocal action. We use Polyakov’s exponential regularization, and obtain agreement with the x-space calculation. We discuss the extension of our methods to higher-loop calculations in more-general chiral nonlocal field theories.

scholarly journals Nonlocal elastodynamics and fracture

2021 ◽  
Vol 28 (3) ◽  
Author(s):  
Robert P. Lipton ◽  
Prashant K. Jha
Keyword(s):  
Field Theory ◽  
Brittle Fracture ◽  
A Priori ◽  
Nonlocal Model ◽  
Elastic Fields ◽  
Nonlocal Field Theory ◽  
Nonlocal Field ◽  
Increasing Function ◽  
Non Locality

AbstractA nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack. We carry out our analysis for a plate subject to mode one loading. The length of the crack is prescribed a priori and is an increasing function of time.

Elements of Classical Field Theory

2021 ◽  
pp. 24-34
Author(s):  
J. Iliopoulos ◽  
T.N. Tomaras
Keyword(s):  
Field Theory ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Classical Mechanics ◽  
Classical Field Theory ◽  
Classical Field ◽  
Lagrange Equations ◽  
Lie Group Of Transformations ◽  
Infinitesimal Transformations ◽  
Conserved Currents

The purpose of this chapter is to recall the principles of Lagrangian and Hamiltonian classical mechanics. Many results are presented without detailed proofs. We obtain the Euler–Lagrange equations of motion, and show the equivalence with Hamilton’s equations. We derive Noether’s theorem and show the connection between symmetries and conservation laws. These principles are extended to a system with an infinite number of degrees of freedom, i.e. a classical field theory. The invariance under a Lie group of transformations implies the existence of conserved currents. The corresponding charges generate, through the Poisson brackets, the infinitesimal transformations of the fields as well as the Lie algebra of the group.

Electron self-energy in nonlocal field theory

1977 ◽  
Vol 103 (1) ◽  
pp. 169-184 ◽  
Author(s):  
G.V Efimov ◽  
M.A Ivanov ◽  
O.A Mogilevsky
Keyword(s):  
Field Theory ◽  
Self Energy ◽  
Nonlocal Field Theory ◽  
Nonlocal Field
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