Determining the mass anomalous dimension through the eigenmodes of Dirac operator - INSPIRE

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Determining the mass anomalous dimension through the eigenmodes of Dirac operator

Nov 6, 2013

7 pages

Part of Proceedings, 31st International Symposium on Lattice Field Theory (Lattice 2013) : Mainz, Germany, July 29-August 3, 2013, 088

Published in:

PoS LATTICE2013 (2014) 088

Contribution to:

- Lattice 2013
, 088

Published: 2014

e-Print:

1311.1287 [hep-lat]

DOI:

10.22323/1.187.0088

View in:

ADS Abstract Service

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Abstract: (arXiv)

We define a scale-dependent effective mass anomalous dimension from the scaling of the mode number of the massless Dirac operator, which connects the perturbative

\gamma_m

of an asymptotically-free system to the universal

\gamma_m^{\star}

at a conformal fixed point. We use a stochastic algorithm to measure the mode number up to the cutoff scale on lattices as large as

48^4

. Focusing on SU(3) lattice gauge theory with

N_f = 12

massless fundamental fermions, we examine systematic effects due to finite volumes and non-zero fermion masses. Our results suggest the existence of an infrared fixed point with

\gamma_m^{\star} \approx 0.25

. Our method provides a unique probe to study systems from the UV to the IR. It is universal and can be applied to any lattice model of interest, including both chirally-broken and IR-conformal systems.

Note:

7 pages, 3 figures

mass: anomalous dimension
operator: Dirac
fermion: massless
fixed point: conformal
fixed point: infrared
model: lattice
lattice field theory
SU(3)
scale dependence
finite size: effect

References(23)

Figures(6)

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