We explore a new computational strategy for determining the equation of state of the SU(3) Yang-Mills theory. By imposing shifted boundary conditions, the entropy density is computed from the vacuum expectation value of the off-diagonal components T_{0k} of the energy-momentum tensor. A step-scaling function is introduced to span a wide range in temperature values. We present preliminary numerical results for the entropy density and its step-scaling function obtained at eight temperature values in the range T_c - 15 T_c. At each temperature, discretization effects are removed by simulating the theory at several lattice spacings and by extrapolating the results to the continuum limit. Finite-size effects are always kept below the statistical errors. The absence of ultraviolet power divergences and the remarkably small discretization effects allow for a precise determination of the step-scaling function in the explored temperature range. These findings establish this strategy as a viable solution for an accurate determination of the equation of state in a wide range of temperature values.

Giusti, L., Pepe, M. (2014). Measuring the entropy from shifted boundary conditions. In Proceedings, 31st International Symposium on Lattice Field Theory (Lattice 2013) : Mainz, Germany, July 29-August 3, 2013 (pp.489).

Measuring the entropy from shifted boundary conditions

GIUSTI, LEONARDO
Primo
;
PEPE, MICHELE
Secondo
2014

Abstract

We explore a new computational strategy for determining the equation of state of the SU(3) Yang-Mills theory. By imposing shifted boundary conditions, the entropy density is computed from the vacuum expectation value of the off-diagonal components T_{0k} of the energy-momentum tensor. A step-scaling function is introduced to span a wide range in temperature values. We present preliminary numerical results for the entropy density and its step-scaling function obtained at eight temperature values in the range T_c - 15 T_c. At each temperature, discretization effects are removed by simulating the theory at several lattice spacings and by extrapolating the results to the continuum limit. Finite-size effects are always kept below the statistical errors. The absence of ultraviolet power divergences and the remarkably small discretization effects allow for a precise determination of the step-scaling function in the explored temperature range. These findings establish this strategy as a viable solution for an accurate determination of the equation of state in a wide range of temperature values.
slide + paper
High Energy Physics - Lattice; High Energy Physics - Lattice
English
31st International Symposium on Lattice Field Theory (Lattice 2013)
2013
Proceedings, 31st International Symposium on Lattice Field Theory (Lattice 2013) : Mainz, Germany, July 29-August 3, 2013
2014
489
http://arxiv.org/abs/1311.1012v2
none
Giusti, L., Pepe, M. (2014). Measuring the entropy from shifted boundary conditions. In Proceedings, 31st International Symposium on Lattice Field Theory (Lattice 2013) : Mainz, Germany, July 29-August 3, 2013 (pp.489).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/64580
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