ULTRAVIOLET AND INFRARED DIVERGENCES IN IMPLICIT REGULARIZATION: A CONSISTENT APPROACH-Reference-Cited by-同舟云学术

ULTRAVIOLET AND INFRARED DIVERGENCES IN IMPLICIT REGULARIZATION: A CONSISTENT APPROACH

Published:2011-02-10 Issue:04 Volume:26 Page:289-302
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

FARGNOLI H. G.¹,BAÊTA SCARPELLI A. P.¹,BRITO L. C. T.²,HILLER B.³,SAMPAIO MARCOS¹,NEMES M. C.¹,OSIPOV A. A.³⁴

Affiliation:

1. Universidade Federal de Minas Gerais, Departamento de Física, ICEx, P. O. Box 702, 30.161-970, Belo Horizonte MG, Brazil

2. Universidade Federal de Lavras, Departamento de Ciências Exatas, P. O. Box 3037, 37.200-000, Lavras MG, Brazil

3. Departamento de Física, Centro de Física Computacional, Faculdade de Ciências e Tecnologia, Universidade de Coimbra, P-3004 516 Coimbra, Portugal

4. Dzhelepov Laboratory of Nuclear Problems, JINR 141980 Dubna, Russia

Abstract

Implicit Regularization is a four-dimensional regularization initially conceived to treat ultraviolet divergences. It has been successfully tested in several instances in the literature, more specifically in those where Dimensional Regularization does not apply. In the present contribution, we extend the method to handle infrared divergences as well. We show that the essential steps which rendered Implicit Regularization adequate in the case of ultraviolet divergences have their counterpart for infrared ones. Moreover, we show that a new scale appears, typically an infrared scale which is completely independent of the ultraviolet one. Examples are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732311034773

Reference29 articles.

1. CONSISTENCY CONDITIONS FOR 4-D REGULARIZATIONS

2. IMPLICIT REGULARISATION TECHNIQUE: CALCULATION OF THE TWO-LOOP $\varphi^4_4$-THEORY β-FUNCTION

3. Consistency in regularizations of the gauged NJL model at the one loop level

4. Consistency relations for an implicitn-dimensional regularization scheme

5. Chiral anomaly andCPTinvariance in an implicit momentum space regularization framework

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