Finite size scaling and the effect of the gauge coupling in 12 flavor systems - INSPIRE

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Finite size scaling and the effect of the gauge coupling in 12 flavor systems

Oct 3, 2013

7 pages

Part of Proceedings, 31st International Symposium on Lattice Field Theory (Lattice 2013) : Mainz, Germany, July 29-August 3, 2013, 075

Published in:

PoS LATTICE2013 (2014) 075

Contribution to:

- Lattice 2013
, 075

Published: 2014

e-Print:

1310.1124 [hep-lat]

DOI:

10.22323/1.187.0075

View in:

ADS Abstract Service

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Abstract: (arXiv)

Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much smaller then zero. This condition is likely not satisfied in many-fermion conformal systems where perturbation theory predicts a nearly-marginal irrelevant gauge coupling. In this work we carry out a new investigation of SU(3) lattice gauge theory with 12 fundamental flavors. Analyzing data at many different gauge couplings, our preliminary results indicate that a finite size scaling analysis that takes into account the effect of a nearly-marginal gauge coupling can resolve many of the inconsistencies observed previously in this system, leading to results consistent with conformal infrared dynamics and predicting a mass scaling anomalous around

\gamma_m=0.25

.

Note:

Contribution to 31st International Symposium on Lattice Field Theory - LATTICE 2013

coupling: gauge
scaling: finite size
scaling: dimension
technicolor: conformal
flavor
lattice field theory: action
perturbation theory
fixed point: infrared
fixed point: conformal
gauge field theory: SU(3)

References(22)

Figures(6)

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