Nearly conformal gauge theories in finite volume
- 1. Department of Physics, University of Wuppertal, Gaussstrasse 20, D-42119 (Germany)
- 2. Department of Physics, University of the Pacific, 3601 Pacific Ave, Stockton, CA 95211 (United States)
- 3. Department of Physics 0319, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093 (United States)
Description
We report new results on nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group as the number of fermion flavors is varied in the Nf=4-16 range. To unambiguously identify the chirally broken phase below the conformal window we apply a comprehensive lattice tool set in finite volumes which includes the test of Goldstone pion dynamics, the spectrum of the fermion Dirac operator, and eigenvalue distributions of random matrix theory. We also discuss the theory inside the conformal window and present our first results on the running of the renormalized gauge coupling and the renormalization group beta function. The importance of understanding finite volume zero momentum gauge field dynamics inside the conformal window is illustrated. Staggered lattice fermions are used throughout the calculations.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physletb.2009.10.040Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2009.10.040;
- arXiv
- arXiv:0907.4562v1;
- PII
- S0370-2693(09)01224-6;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 681
- Journal Issue
- 4
- Journal Page Range
- p. 353-361
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41086243
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COLOR MODEL; CONFORMAL INVARIANCE; DIRAC OPERATORS; EIGENVALUES; FERMIONS; FLAVOR MODEL; GAUGE INVARIANCE; GOLDSTONE BOSONS; MATRICES; PIONS; RANDOMNESS; RENORMALIZATION; SU-3 GROUPS
- Descriptors DEC
- BOSONS; COMPOSITE MODELS; ELEMENTARY PARTICLES; HADRONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MESONS; PARTICLE MODELS; POSTULATED PARTICLES; PSEUDOSCALAR MESONS; QUANTUM OPERATORS; QUARK MODEL; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.