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Title: Global anomalies and effective field theory

Here, we show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in effective field theory. We focus on thermal effective field theory, where we argue that the appearance of certain unusual Chern-Simons 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:
 [1] ;  [1]
  1. Univ. of Chicago, Chicago, IL (United States)
Publication Date:
Grant/Contract Number:
FG02-13ER41958; SC0009924
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 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Chicago, IL (United States)
Sponsoring Org:
USDOE
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
OSTI Identifier:
1395558

Golkar, Siavash, and Sethi, Savdeep. Global anomalies and effective field theory. United States: N. p., 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. 2016. "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 non-renormalization of couplings in effective field theory. We focus on thermal effective field theory, where we argue that the appearance of certain unusual Chern-Simons 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}
}