The density of states in gauge theories

K Langfeld; B Lucini; A Rago

The density of states in gauge theories

K Langfeld, B Lucini, A Rago

School of Engineering, Computing and Mathematics

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Abstract

The density of states is calculated for a SU(2) and a compact U(1) lattice gauge theory using a modified version of the Wang-Landau algorithm. We find that the density of states of the SU(2) gauge theory can be reliably calculated over a range of 120,000 orders of magnitude for lattice sizes as big as 20^4. We demonstrate the potential of the algorithm by reproducing the SU(2) average action, its specific heat and the critical couplings of the weak first order transition in U(1).

Original language	English
Journal	Physical Review Letters
Volume	109
Issue number	11
Publication status	Published - 11 Sept 2012

Keywords

hep-lat
cond-mat.stat-mech
hep-th

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AU - Lucini, B

AU - Rago, A

PY - 2012/9/11

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N2 - The density of states is calculated for a SU(2) and a compact U(1) lattice gauge theory using a modified version of the Wang-Landau algorithm. We find that the density of states of the SU(2) gauge theory can be reliably calculated over a range of 120,000 orders of magnitude for lattice sizes as big as 20^4. We demonstrate the potential of the algorithm by reproducing the SU(2) average action, its specific heat and the critical couplings of the weak first order transition in U(1).

AB - The density of states is calculated for a SU(2) and a compact U(1) lattice gauge theory using a modified version of the Wang-Landau algorithm. We find that the density of states of the SU(2) gauge theory can be reliably calculated over a range of 120,000 orders of magnitude for lattice sizes as big as 20^4. We demonstrate the potential of the algorithm by reproducing the SU(2) average action, its specific heat and the critical couplings of the weak first order transition in U(1).

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KW - cond-mat.stat-mech

KW - hep-th

UR - https://pearl.plymouth.ac.uk/secam-research/17/

M3 - Article

SN - 0031-9007

VL - 109

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11

ER -

The density of states in gauge theories

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