-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:
- 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. https://doi.org/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. https://doi.org/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}
}
https://doi.org/10.1103/PhysRevD.100.114515
Web of Science
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