Cheng, Anqi, Hasenfratz, Anna, Petropoulos, Gregory and Schaich, David
(2013)
Determining the mass anomalous dimension through the eigenmodes of Dirac
operator.
In: 31st International Symposium on Lattice Field Theory LATTICE 2013, 2013-7-29 - ?.
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1311.1287v1.pdf - Author Accepted Manuscript Download (654kB) | Preview |
Abstract
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.
| Item Type: | Conference or Workshop Item (Unspecified) |
|---|---|
| Additional Information: | 7 pages, 3 figures |
| Uncontrolled Keywords: | hep-lat, hep-lat |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 13 Mar 2020 14:34 |
| Last Modified: | 18 Jan 2023 23:57 |
| DOI: | 10.22323/1.187.0088 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3078899 |
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