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Title: Nonlinearly realized conformal invariance in scale invariant field theories

Abstract

I explore the implications of promoting nonconformal scale-invariant theories to conformal theories by nonlinearly realizing the missing symmetry. Properties of the associated Nambu-Goldstone mode imply that conformal invariance cannot be spontaneously broken to scale invariance in unitary theories and that, as well known, scale invariant unitary theories in two dimensions are also conformal. The promoted theories have only conformal primaries and no descendants. The (non) decoupling of the Nambu-Goldstone mode is explicitly shown in examples of scale invariant theories that are actually (not) conformal.

Authors:
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1501723
Alternate Identifier(s):
OSTI ID: 1601241
Grant/Contract Number:  
SC0010102
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 6; 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

Citation Formats

Okui, Takemichi. Nonlinearly realized conformal invariance in scale invariant field theories. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.061701.
Okui, Takemichi. Nonlinearly realized conformal invariance in scale invariant field theories. United States. doi:10.1103/PhysRevD.99.061701.
Okui, Takemichi. Tue . "Nonlinearly realized conformal invariance in scale invariant field theories". United States. doi:10.1103/PhysRevD.99.061701.
@article{osti_1501723,
title = {Nonlinearly realized conformal invariance in scale invariant field theories},
author = {Okui, Takemichi},
abstractNote = {I explore the implications of promoting nonconformal scale-invariant theories to conformal theories by nonlinearly realizing the missing symmetry. Properties of the associated Nambu-Goldstone mode imply that conformal invariance cannot be spontaneously broken to scale invariance in unitary theories and that, as well known, scale invariant unitary theories in two dimensions are also conformal. The promoted theories have only conformal primaries and no descendants. The (non) decoupling of the Nambu-Goldstone mode is explicitly shown in examples of scale invariant theories that are actually (not) conformal.},
doi = {10.1103/PhysRevD.99.061701},
journal = {Physical Review D},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.061701

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