On scale and conformal invariance in four dimensions

Anatoly Dymarsky; Zohar Komargodski; Adam Schwimmer; Stefan Theisen

doi:10.1007/JHEP10(2015)171

On scale and conformal invariance in four dimensions

Anatoly Dymarsky
, Zohar Komargodski
, Adam Schwimmer
, Stefan Theisen

Simons Center for Geometry & Physics

University of Cambridge
Weizmann Institute of Science
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

Abstract

Abstract: We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.

Original language	English
Article number	171
Journal	Journal of High Energy Physics
Volume	2015
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2015)171
State	Published - Oct 1 2015

Keywords

Anomalies in Field and String Theories
Effective field theories
Renormalization Group
Space-Time Symmetries

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10.1007/JHEP10(2015)171

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abstract = "Abstract: We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.",

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N2 - Abstract: We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.

AB - Abstract: We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.

KW - Anomalies in Field and String Theories

KW - Effective field theories

KW - Renormalization Group

KW - Space-Time Symmetries

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DO - 10.1007/JHEP10(2015)171

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On scale and conformal invariance in four dimensions

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Keywords

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