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Conformal theories with an infrared cutoff

Ishikawa, K.-I. and Iwasaki, Y. and Nakayama, Yu and Yoshie, T. (2013) Conformal theories with an infrared cutoff. Physical Review D, 87 (7). Art. No. 071503. ISSN 2470-0010. doi:10.1103/PhysRevD.87.071503.

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We give a new perspective on the dynamics of conformal theories realized in the SU(N) gauge theory, when the number of flavors N_f is within the conformal window. Motivated by the renormalization group argument on conformal theories with a finite IR cutoff Λ_IR, we conjecture that the propagator of a meson GH(t) on a lattice behaves at large t as a power-law corrected Yukawa-type decaying form G_(H)(t)=c˜^~_(H)exp(-m^~_(H)t)/t^(αH) instead of the exponentially decaying form c_(H)exp(-mHt), in the small quark mass region where m_H≤cΛ_IR: m_H is the mass of the ground state hadron in the channel H and c is a constant of order 1. The transition between the “conformal region” and the “confining region” is a first order transition. Our numerical results verify the predictions for the N_f=7 case and the N_f=16 case in the SU(3) gauge theory with the fundamental representation.

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Additional Information:© 2013 American Physical Society. Received 21 January 2013; published 30 April 2013. We would like to express our gratitude to T. Yanagida for making a chance to start this collaboration. We thank K. Kanaya for his help in preparing the manuscript. The calculations were performed with HA-PACS computer at CCS, University of Tsukuba and SR16000 at KEK. We would like to thank members of CCS and KEK for their strong support for this work.
Group:Caltech Theory
Issue or Number:7
Classification Code:PACS: 12.38.Gc, 11.25.Hf
Record Number:CaltechAUTHORS:20130624-141038114
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39056
Deposited On:24 Jun 2013 23:10
Last Modified:09 Nov 2021 23:42

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