Radiative corrections in a nonlocal field theory

1993 ◽  
Vol 71 (7-8) ◽  
pp. 334-339
Author(s):  
D. G. C. McKeon
Keyword(s):  
Proper Time ◽  
Radiative Corrections ◽  
Point Function ◽  
Lagrange Density ◽  
Nonlocal Field Theory ◽  
Straightforward Generalization ◽  
Nonlocal Field ◽  
Text Model ◽  
Text Interaction ◽  
Time Point

We extend the notion of a scalar field [Formula: see text] to that of a field Φ(Xμ(σ)) so that the space-time point Xμ(σ) depends on a parameter [Formula: see text]. A straightforward generalization of the [Formula: see text] interaction is considered (viz: a [Formula: see text] theory). Radiative corrections in both cases can be evaluated using a technique involving quantum mechanical path integrals. For the [Formula: see text] model, this involves the classical Lagrange density [Formula: see text] (viz: that of a particle in the "proper time gauge") while for the [Formula: see text] model the Lagrange density [Formula: see text] (viz: that of a string in the "conformai gauge") must be considered. The two-point function is examined in both cases.

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.

scholarly journals Correlation functions in finite temperature CFT and black hole singularities

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
D. Rodriguez-Gomez ◽  
J.G. Russo
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Correlation Functions ◽  
Finite Temperature ◽  
Proper Time ◽  
Black Brane ◽  
Point Function ◽  
Black Hole Singularity ◽  
Point Correlation ◽  
Scaling Dimension

Abstract We compute thermal 2-point correlation functions in the black brane AdS5 background dual to 4d CFT’s at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.

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

Evaluation of loop diagrams using quantum mechanics

1992 ◽  
Vol 70 (8) ◽  
pp. 652-655 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Matrix Element ◽  
Proper Time ◽  
Quantum Field ◽  
Loop Momentum ◽  
Loop Order ◽  
Point Function ◽  
Integral Formalism ◽  
Time Formalism

In using the proper time formalism, Schwinger demonstrated that one-loop processes in quantum field theory can be expressed in terms of a matrix element whose form is encountered in quantum mechanics, and which can be evaluated using the Heisenberg formalism. We demonstrate how instead this matrix element can be computed using standard results in the path-integral formalism. The technique of operator regularization allows one to extend this approach to arbitrary loop order. No loop-momentum integrals are ever encountered. This technique is illustrated by computing the two-point function in [Formula: see text] theory to one-loop order.

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