Global anomalies and effective field theory

Golkar, Siavash; Sethi, Savdeep

doi:10.1007/JHEP05(2016)105

Title: Global anomalies and effective field theory

Journal Article · Tue May 17 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2016)105· OSTI ID:1395558

Golkar, Siavash ^[1]; Sethi, Savdeep ^[1]

Univ. of Chicago, Chicago, IL (United States)

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.

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Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-13ER41958; SC0009924

OSTI ID:: 1395558

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 38 works

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References (17)

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Cited By (10)

Membrane paradigm and RG flows for anomalous holographic theories Copetti, Christian; Fernández-Pendás, Jorge Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/jhep04(2018)134	journal	April 2018
Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP Gooth, Johannes; Niemann, Anna C.; Meng, Tobias Nature, Vol. 547, Issue 7663 https://doi.org/10.1038/nature23005	journal	July 2017
Chiral vortical conductivity across a topological phase transition from holography Ji, Xuanting; Liu, Yan; Wu, Xin-Meng Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.126013	journal	December 2019
Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism Hongo, Masaru; Hidaka, Yoshimasa Particles, Vol. 2, Issue 2 https://doi.org/10.3390/particles2020018	journal	May 2019
Cardy Formula for 4d SUSY Theories and Localization Di Pietro, Lorenzo; Honda, Masazumi arXiv https://doi.org/10.48550/arxiv.1611.00380	text	January 2016
Nonlinear Responses of Chiral Fluids from Kinetic Theory Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun arXiv https://doi.org/10.48550/arxiv.1710.00278	text	January 2017
Membrane paradigm and RG flows for anomalous holographic theories Copetti, Christian; Fernández-Pendás, Jorge arXiv https://doi.org/10.48550/arxiv.1712.06628	text	January 2017
Mixed Anomalies: Chiral Vortical Effect and the Sommerfeld Expansion Stone, Michael; Kim, JiYoung arXiv https://doi.org/10.48550/arxiv.1804.08668	text	January 2018
Dynamical gauge fields and anomalous transport at strong coupling Gallegos, Angel Domingo; Gürsoy, Umut arXiv https://doi.org/10.48550/arxiv.1806.07138	preprint	January 2018
Chiral vortical conductivity across a topological phase transition from holography Ji, Xuanting; Liu, Yan; Wu, Xin-Meng arXiv https://doi.org/10.48550/arxiv.1904.08058	text	January 2019

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