Global anomalies and effective field theory
Abstract
Here, we show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and nonrenormalization of couplings in effective field theory. We focus on thermal effective field theory, where we argue that the appearance of certain unusual ChernSimons couplings is a consequence of global anomalies. As an example, we show that a mixed global anomaly in four dimensions fixes the chiral vortical effect coefficient (up to an overall additive factor). This is an experimentally measurable prediction from a global anomaly. For certain situations, we propose a simpler method for calculating global anomalies which uses correlation functions rather than eta invariants.
 Authors:

 Univ. of Chicago, Chicago, IL (United States)
 Publication Date:
 Research Org.:
 Univ. of Chicago, IL (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1395558
 Grant/Contract Number:
 FG0213ER41958; SC0009924
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Effective field theories; Global Symmetries
Citation Formats
Golkar, Siavash, and Sethi, Savdeep. Global anomalies and effective field theory. United States: N. p., 2016.
Web. doi:10.1007/JHEP05(2016)105.
Golkar, Siavash, & Sethi, Savdeep. Global anomalies and effective field theory. United States. doi:10.1007/JHEP05(2016)105.
Golkar, Siavash, and Sethi, Savdeep. Tue .
"Global anomalies and effective field theory". United States. doi:10.1007/JHEP05(2016)105. https://www.osti.gov/servlets/purl/1395558.
@article{osti_1395558,
title = {Global anomalies and effective field theory},
author = {Golkar, Siavash and Sethi, Savdeep},
abstractNote = {Here, we show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and nonrenormalization of couplings in effective field theory. We focus on thermal effective field theory, where we argue that the appearance of certain unusual ChernSimons couplings is a consequence of global anomalies. As an example, we show that a mixed global anomaly in four dimensions fixes the chiral vortical effect coefficient (up to an overall additive factor). This is an experimentally measurable prediction from a global anomaly. For certain situations, we propose a simpler method for calculating global anomalies which uses correlation functions rather than eta invariants.},
doi = {10.1007/JHEP05(2016)105},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {2016},
month = {5}
}
Web of Science
Works referenced in this record:
Cardy formulae for SUSY theories in d = 4 and d = 6
journal, December 2014
 Di Pietro, Lorenzo; Komargodski, Zohar
 Journal of High Energy Physics, Vol. 2014, Issue 12
Holographic gravitational anomaly and chiral vortical effect
journal, September 2011
 Landsteiner, Karl; Megías, Eugenio; Melgar, Luis
 Journal of High Energy Physics, Vol. 2011, Issue 9
(Non)renormalization of the chiral vortical effect coefficient
journal, February 2015
 Golkar, Siavash; Son, Dam T.
 Journal of High Energy Physics, Vol. 2015, Issue 2
Global gravitational anomalies
journal, June 1985
 Witten, Edward
 Communications in Mathematical Physics, Vol. 100, Issue 2
Constraints on fluid dynamics from equilibrium partition functions
journal, September 2012
 Banerjee, Nabamita; Bhattacharya, Jyotirmoy; Bhattacharyya, Sayantani
 Journal of High Energy Physics, Vol. 2012, Issue 9
Gravitational Anomaly and Transport Phenomena
journal, July 2011
 Landsteiner, Karl; Megías, Eugenio; PenaBenitez, Francisco
 Physical Review Letters, Vol. 107, Issue 2
Relativistic hydrodynamics with general anomalous charges
journal, March 2011
 Neiman, Yasha; Oz, Yaron
 Journal of High Energy Physics, Vol. 2011, Issue 3
ChernSimons terms from thermal circles and anomalies
journal, May 2014
 Jensen, Kristan; Loganayagam, R.; Yarom, Amos
 Journal of High Energy Physics, Vol. 2014, Issue 5
Hydrodynamics with Triangle Anomalies
journal, November 2009
 Son, Dam T.; Surówka, Piotr
 Physical Review Letters, Vol. 103, Issue 19
Thermodynamics, gravitational anomalies and cones
journal, February 2013
 Jensen, Kristan; Loganayagam, R.; Yarom, Amos
 Journal of High Energy Physics, Vol. 2013, Issue 2
Anomalous transport coefficients from Kubo formulas in Holography
journal, May 2011
 Amado, Irene; Landsteiner, Karl; PenaBenitez, Francisco
 Journal of High Energy Physics, Vol. 2011, Issue 5
Eta Invariants, Signature Defects of Cusps, and Values of LFunctions
journal, July 1983
 Atiyah, M. F.; Donnelly, H.; Singer, I. M.
 The Annals of Mathematics, Vol. 118, Issue 1
Gravitation, gauge theories and differential geometry
journal, December 1980
 Eguchi, Tohru; Gilkey, Peter B.; Hanson, Andrew J.
 Physics Reports, Vol. 66, Issue 6
Topological mass quantization and parity violation in 2 + 1 dimensional QED
journal, January 1987
 Polychronakos, Alexios P.
 Nuclear Physics B, Vol. 281, Issue 12
Works referencing / citing this record:
AnomalyInduced Transport Phenomena from ImaginaryTime Formalism
journal, May 2019
 Hongo, Masaru; Hidaka, Yoshimasa
 Particles, Vol. 2, Issue 2
AnomalyInduced Transport Phenomena from ImaginaryTime Formalism
journal, May 2019
 Hongo, Masaru; Hidaka, Yoshimasa
 Particles, Vol. 2, Issue 2