Taylor-Lagrange renormalization scheme, Pauli-Villars subtraction, and light-front dynamics

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.025012· OSTI ID:21410156

Grange, P; Mutet, B ^[1]; Mathiot, J -F ^[2]; Werner, E ^[3]

---

1. Laboratoire de Physique Theorique et Astroparticules, Universite Montpellier II, CNRS/IN2P3, Place E. Bataillon, F-34095 Montpellier Cedex 05 (France)
2. Clermont Universite, Laboratoire de Physique Corpusculaire, BP10448, F-63000 Clermont-Ferrand (France)
3. Institut fr Theoretische Physik, Universitt Regensburg, Universittstrasse 31, D-93053 Regensburg (Germany)

We show how the recently proposed Taylor-Lagrange renormalization scheme can lead to extensions of singular distributions which are reminiscent of the Pauli-Villars subtraction. However, at variance with the Pauli-Villars regularization scheme, no infinite mass limit is performed in this scheme. As an illustration of this mechanism, we consider the calculation of the self-energy in second order perturbation theory in the Yukawa model, within the covariant formulation of light-front dynamics. We show, in particular, how rotational invariance is preserved in this scheme.

• OSTI ID: 21410156
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.025012; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DISTRIBUTION
MASS
PERTURBATION THEORY
RENORMALIZATION
ROTATIONAL INVARIANCE
SELF-ENERGY
SIMULATION
YUKAWA NONLOCAL THEORY
ENERGY
FIELD THEORIES
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY