scholarly journals Connection between the spectrum condition and the Lorentz invariance of the Yukawa2 quantum field theory

1977 ◽  
Vol 57 (2) ◽  
pp. 111-116 ◽  
Author(s):  
Edward P. Osipov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lorentz Invariance ◽  
Quantum Field ◽  
Spectrum Condition

scholarly journals Emergence of stringlike physics from Lorentz invariance in loop quantum gravity

2014 ◽  
Vol 23 (12) ◽  
pp. 1442023 ◽  
Author(s):  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Lorentz Invariance ◽  
Spherically Symmetric ◽  
Quantum Field ◽  
Spin Network ◽  
Symmetric Quantum

We consider a quantum field theory on a spherically symmetric quantum spacetime described by loop quantum gravity. The spin network description of spacetime in such a theory leads to equations for the quantum field that are discrete. We show that to avoid significant violations of Lorentz invariance, one needs to consider specific nonlocal interactions in the quantum field theory similar to those that appear in string theory. This is the first sign that loop quantum gravity places restrictions on the type of matter considered, and points to a connection with string theory physics.

scholarly journals SYSTEMATIC IMPLEMENTATION OF IMPLICIT REGULARIZATION FOR MULTILOOP FEYNMAN DIAGRAMS

2011 ◽  
Vol 26 (15) ◽  
pp. 2591-2635 ◽  
Author(s):  
A. L. CHERCHIGLIA ◽  
MARCOS SAMPAIO ◽  
M. C. NEMES
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Feynman Diagram ◽  
Lorentz Invariance ◽  
Recursion Formula ◽  
Feynman Diagrams ◽  
Quantum Field ◽  
Loop Momentum ◽  
Loop Order ◽  
Fundamental Symmetry

Implicit Regularization (IReg) is a candidate to become an invariant framework in momentum space to perform Feynman diagram calculations to arbitrary loop order. In this work we present a systematic implementation of our method that automatically displays the terms to be subtracted by Bogoliubov's recursion formula. Therefore, we achieve a twofold objective: we show that the IReg program respects unitarity, locality and Lorentz invariance and we show that our method is consistent since we are able to display the divergent content of a multiloop amplitude in a well-defined set of basic divergent integrals in one-loop momentum only which is the essence of IReg. Moreover, we conjecture that momentum routing invariance in the loops, which has been shown to be connected with gauge symmetry, is a fundamental symmetry of any Feynman diagram in a renormalizable quantum field theory.

Lorentz Invariance of the Quantum Field Theory of Electric and Magnetic Charge

1978 ◽  
Vol 40 (3) ◽  
pp. 147-150 ◽  
Author(s):  
Richard A. Brandt ◽  
Filippo Neri ◽  
Daniel Zwanziger
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Magnetic Charge ◽  
Lorentz Invariance ◽  
Quantum Field

scholarly journals Fine-tuning problems in quantum field theory and Lorentz invariance: A scalar-fermion model with a physical momentum cutoff

2017 ◽  
Vol 32 (15) ◽  
pp. 1750084 ◽  
Author(s):  
J. L. Cortés ◽  
Justo López-Sarrión
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lorentz Invariance ◽  
Scalar Particle ◽  
Fine Tuning ◽  
Fermion Field ◽  
Quantum Field ◽  
Light Scalar ◽  
Energy Approximation ◽  
Theory Framework

In this paper, we study the consistency of having Lorentz invariance as a low energy approximation within the quantum field theory framework. A model with a scalar and a fermion field is used to show how a Lorentz invariance violating high momentum scale, a physical cutoff rendering the quantum field theory finite, can be made compatible with a suppression of Lorentz invariance violations at low momenta. The fine tuning required to get this suppression and to have a light scalar particle in the spectrum are determined at one loop.

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