Decoupling a fermion whose mass comes from a Yukawa coupling: Nonperturbative considerations
Abstract
Perturbative analyses seem to suggest that fermions whose mass comes solely from a Yukawa coupling to a scalar field can be made arbitrarily heavy, while the scalar remains light. The effects of the fermion can be summarized by a local effective Lagrangian for the light degrees of freedom. Using weak coupling and large-{ital N} techniques, we present a variety of models in which this conclusion is shown to be false when nonperturbative variations of the scalar field are considered. The heavy fermions contribute nonlocal terms to the effective action for light degrees of freedom. This resolves paradoxes about anomalous and nonanomalous symmetry violation in these models. The application of these results to lattice gauge theory implies that attempts to decouple lattice fermion doublers by the method of Swift and Smit cannot succeed, a result already suggested by lattice calculations.
- Authors:
-
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849 (United States)
- Publication Date:
- OSTI Identifier:
- 6972796
- DOE Contract Number:
- FG05-90ER40559
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, D (Particles Fields); (United States)
- Additional Journal Information:
- Journal Volume: 46:9; Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; MASS; COUPLING; DECOUPLING; GAUGE INVARIANCE; HIGGS BOSONS; LAGRANGIAN FUNCTION; LATTICE FIELD THEORY; PERTURBATION THEORY; SCALAR FIELDS; SU-3 GROUPS; SYMMETRY BREAKING; VACUUM STATES; YUKAWA POTENTIAL; ELEMENTARY PARTICLES; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; NUCLEAR POTENTIAL; POSTULATED PARTICLES; POTENTIALS; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)
Citation Formats
Banks, T, and Dabholkar, A. Decoupling a fermion whose mass comes from a Yukawa coupling: Nonperturbative considerations. United States: N. p., 1992.
Web. doi:10.1103/PhysRevD.46.4016.
Banks, T, & Dabholkar, A. Decoupling a fermion whose mass comes from a Yukawa coupling: Nonperturbative considerations. United States. https://doi.org/10.1103/PhysRevD.46.4016
Banks, T, and Dabholkar, A. 1992.
"Decoupling a fermion whose mass comes from a Yukawa coupling: Nonperturbative considerations". United States. https://doi.org/10.1103/PhysRevD.46.4016.
@article{osti_6972796,
title = {Decoupling a fermion whose mass comes from a Yukawa coupling: Nonperturbative considerations},
author = {Banks, T and Dabholkar, A},
abstractNote = {Perturbative analyses seem to suggest that fermions whose mass comes solely from a Yukawa coupling to a scalar field can be made arbitrarily heavy, while the scalar remains light. The effects of the fermion can be summarized by a local effective Lagrangian for the light degrees of freedom. Using weak coupling and large-{ital N} techniques, we present a variety of models in which this conclusion is shown to be false when nonperturbative variations of the scalar field are considered. The heavy fermions contribute nonlocal terms to the effective action for light degrees of freedom. This resolves paradoxes about anomalous and nonanomalous symmetry violation in these models. The application of these results to lattice gauge theory implies that attempts to decouple lattice fermion doublers by the method of Swift and Smit cannot succeed, a result already suggested by lattice calculations.},
doi = {10.1103/PhysRevD.46.4016},
url = {https://www.osti.gov/biblio/6972796},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 46:9,
place = {United States},
year = {Sun Nov 01 00:00:00 EST 1992},
month = {Sun Nov 01 00:00:00 EST 1992}
}