×

Simple non-perturbative resummation schemes beyond mean-field. II: Thermodynamics of scalar \(\phi^4\) theory in 1 + 1 dimensions at arbitrary coupling. (English) Zbl 1434.81116

Summary: Recently, non-perturbative approximate solutions were presented that go beyond the well-known mean-field resummation. In this work, these non-perturbative approximations are used to calculate finite-temperature equilibrium properties for scalar \(\phi^4\) theory in two dimensions such as the pressure, entropy density and speed of sound. Unlike traditional approaches, it is found that results are well-behaved for arbitrary temperature/coupling strength, are independent of the choice of the renormalization scale \(\overline{\mu}^2\), and are apparently converging as the resummation level is increased. Results also suggest the presence of a possible analytic cross-over from the high-temperature to the low-temperature regime based on the change in the thermal entropy density.
For Part I, see [the author, J. High Energy Phys. 2019, No. 3, Paper No. 149, 16 p. (2019; Zbl 1414.81218)].

MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory
81T28 Thermal quantum field theory

Citations:

Zbl 1414.81218

Software:

GitHub; Resummation
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Romatschke, P., JHEP2019(03), 149 (2019).
[2] Laine, M. and Vuorinen, A., Lect. Notes Phys.925, 1 (2016). · Zbl 1356.81007
[3] Braaten, E. and Pisarski, R. D., Nucl. Phys. B337, 569 (1990).
[4] Aharony, O., Marsano, J., Minwalla, S. and Wiseman, T., Class. Quantum Grav.21, 5169 (2004). · Zbl 1062.83065
[5] Kawahara, N., Nishimura, J. and Takeuchi, S., JHEP2007(12), 103 (2007).
[6] Hanada, M. and Romatschke, P., Phys. Rev. D96, 094502 (2017).
[7] Serone, M., Spada, G. and Villadoro, G., JHEP2018(08), 148 (2018). · Zbl 1396.81125
[8] Elias-Miro, J., Rychkov, S. and Vitale, L. G., JHEP2017(10), 213 (2017).
[9] Blaizot, J. P., Iancu, E. and Rebhan, A., Phys. Rev. D63, 065003 (2001).
[10] P. Romatschke, Numerical codes for \(\phi^4\) theory in \(1+1\) dimensions at R2/R3 level, https://github.com/paro8929/Resummation.
[11] Aoki, Y., Endrodi, G., Fodor, Z., Katz, S. D. and Szabo, K. K., Nature443, 675 (2006).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.