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

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

72 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

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).

Funding

Funders	Funder number
H2020 European Research Council
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	0969448
Fundação para a Ciência e Tecnologia I.P.	PTDC/CCI-BIO/29266/2017
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	PHY-0969448
US-Israel Binational Science Foundation	884/11, 1937/12
Seventh Framework Programme	279617
European Commission	335182

Keywords

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

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP10(2015)171

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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.

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KW - Space-Time Symmetries

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On scale and conformal invariance in four dimensions

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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