Weyl consistency conditions in non-relativistic quantum field theory

Pal, Sridip; Grinstein, Benjamín

doi:10.1007/JHEP12(2016)012

Title: Weyl consistency conditions in non-relativistic quantum field theory

Journal Article · Mon Dec 05 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2016)012· OSTI ID:1423953

Pal, Sridip ^[1]; Grinstein, Benjamín ^[1]

Univ. of California San Diego, La Jolla, CA (United States). Dept. of Physics

Weyl consistency conditions have been used in unitary relativistic quantum field theory to impose constraints on the renormalization group flow of certain quantities. We classify the Weyl anomalies and their renormalization scheme ambiguities for generic non-relativistic theories in 2 + 1 dimensions with anisotropic scaling exponent z = 2; the extension to other values of z are discussed as well. We give the consistency conditions among these anomalies. As an application we find several candidates for a C-theorem. Here, we comment on possible candidates for a C-theorem in higher dimensions.

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Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: sc0009919

OSTI ID:: 1423953

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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