Published September 10, 2015 | Version v1
Journal article

Gradient flows in three dimensions

  • 1. Department of Mathematical Sciences,University of Liverpool, Liverpool L69 3BX (United Kingdom)

Description

The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the β-functions via a gradient flow equation involving a positive definite metric. We demonstrate the existence of a candidate a-function for renormalisable Chern-Simons theories in three dimensions, involving scalar and fermion fields, in both non-supersymmetric and supersymmetric cases.

Availability note (English)

Available from http://dx.doi.org/10.1007/JHEP09(2015)061; Available from http://repo.scoap3.org/record/11794

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2015
Journal Issue
09
Journal Page Range
p. 61
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48029165
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
FERMIONS; FIELD EQUATIONS; METRICS; QUANTUM FIELD THEORY; RENORMALIZATION; SCALAR FIELDS; SPACE-TIME; SUPERSYMMETRY
Descriptors DEC
EQUATIONS; FIELD THEORIES; SYMMETRY

Optional Information

Copyright
Copyright (c) OPEN ACCESS, © The Authors
Notes
PUBLISHER-ID: JHEP09(2015)061; ARXIV:1505.05400; OAI: oai:repo.scoap3.org:11794
Funding organization
SCOAP3, CERN, Geneva (Switzerland)