Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly
 
research article

Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly

Shaposhnikov, Mikhail  
•
Tokareva, Anna  
March 24, 2023
Physical Review D

The classical Lagrangian of the Standard Model enjoys the symmetry of the full conformal group if the mass of the Higgs boson is put to zero. This is a hint that conformal symmetry may play a fundamental role in the ultimate theory describing nature. The origin of scales, such as the Higgs vacuum expectation value (VEV), may result from the spontaneous breakdown of the conformal symmetry by the dilaton field. In this work, we study whether this classical setup can be implemented in quantum theory and be phenomeno-logically viable by presenting an explicit construction where the exact conformal symmetry can be preserved and is anomaly-free while being spontaneously broken. Not only the Higgs mass but also the genuine quantum scales such as the QCD confinement radius are generated by the dilaton VEV. We also discuss the extension of these ideas to the theories with dynamical gravity and show that the only finite subgroup of the local Weyl transformations which is anomaly-free corresponds to the global scale symmetry. This means that the conformal invariance of the flat space theory is explicitly broken down to the scale symmetry by gravitational effects related to the Weyl anomaly.

  • Details
  • Metrics
Type
research article
DOI
10.1103/PhysRevD.107.065015
Web of Science ID

WOS:000960405300006

Author(s)
Shaposhnikov, Mikhail  
Tokareva, Anna  
Date Issued

2023-03-24

Publisher

American Physical Society

Published in
Physical Review D
Volume

107

Issue

6

Article Number

065015

Subjects

Astronomy & Astrophysics

•

Physics, Particles & Fields

•

Physics

•

invariant powers

•

dark-matter

•

laplacian

•

representations

•

cosmology

•

vmsm

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LPPC  
Available on Infoscience
April 24, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/197057
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés