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Title: ε -regime of dilaton chiral perturbation theory

Abstract

The ϵ-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the ϵ-regime, as a function of the fermion mass. The microscopic spectral density of the Dirac operator is obtained from dilaton chiral perturbation theory. Our main result is that the chiral condensate and the spectral density are related to their counterparts from ordinary chiral perturbation theory via a simple scaling relation. This relation originates from the mass dependence of the dilaton potential, and is valid in both the ϵ-regime and the p-regime. In the ϵ-regime, moreover, all results agree with the universal predictions to leading order in ϵ.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
San Francisco State Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Israel Science Foundation (ISF)
OSTI Identifier:
1580306
Alternate Identifier(s):
OSTI ID: 1594603
Report Number(s):
arXiv:1909.10796v1
Journal ID: ISSN 2470-0010; PRVDAQ; 114515
Grant/Contract Number:  
SC0013682; 491/17
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conformal field theory; effective field theory; Lattice field theory; nonperturbative effects in field theory

Citation Formats

Brown, Taro V., Golterman, Maarten, Krøjer, Svend, Shamir, Yigal, and Splittorff, K. ε -regime of dilaton chiral perturbation theory. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.114515.
Brown, Taro V., Golterman, Maarten, Krøjer, Svend, Shamir, Yigal, & Splittorff, K. ε -regime of dilaton chiral perturbation theory. United States. doi:10.1103/PhysRevD.100.114515.
Brown, Taro V., Golterman, Maarten, Krøjer, Svend, Shamir, Yigal, and Splittorff, K. Tue . "ε -regime of dilaton chiral perturbation theory". United States. doi:10.1103/PhysRevD.100.114515.
@article{osti_1580306,
title = {ε -regime of dilaton chiral perturbation theory},
author = {Brown, Taro V. and Golterman, Maarten and Krøjer, Svend and Shamir, Yigal and Splittorff, K.},
abstractNote = {The ϵ-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the ϵ-regime, as a function of the fermion mass. The microscopic spectral density of the Dirac operator is obtained from dilaton chiral perturbation theory. Our main result is that the chiral condensate and the spectral density are related to their counterparts from ordinary chiral perturbation theory via a simple scaling relation. This relation originates from the mass dependence of the dilaton potential, and is valid in both the ϵ-regime and the p-regime. In the ϵ-regime, moreover, all results agree with the universal predictions to leading order in ϵ.},
doi = {10.1103/PhysRevD.100.114515},
journal = {Physical Review D},
number = 11,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.114515

Citation Metrics:
Cited by: 1 work
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