Continuum and lattice meson spectral functions at nonzero momentum and high temperature. (English) Zbl 1113.81311
Summary: We analyse discretization effects in the calculation of high-temperature meson spectral functions at nonzero momentum and fermion mass on the lattice. We do so by comparing continuum and lattice spectral functions in the infinite temperature limit. Complete analytical results for the spectral densities in the continuum are presented, along with simple expressions for spectral functions obtained with Wilson and staggered fermions on anisotropic lattices. We comment on the use of local and point split currents.
MSC:
| 81T25 | Quantum field theory on lattices |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
References:
| [1] | Asakawa, M.; Hatsuda, T.; Nakahara, Y., Prog. Part. Nucl. Phys., 46, 459 (2001) |
| [2] | Asakawa, M.; Hatsuda, T., Phys. Rev. Lett., 92, 012001 (2004) |
| [3] | Datta, S.; Karsch, F.; Petreczky, P.; Wetzorke, I., Phys. Rev. D, 69, 094507 (2004) |
| [4] | Umeda, T.; Nomura, K.; Matsufuru, H., Eur. Phys. J. C, 39S1, 9 (2005) |
| [5] | Karsch, F.; Laermann, E.; Petreczky, P.; Stickan, S.; Wetzorke, I., Phys. Lett. B, 530, 147 (2002) |
| [6] | Gupta, S., Phys. Lett. B, 597, 57 (2004) |
| [7] | Nakamura, A.; Sakai, S., Phys. Rev. Lett., 94, 072305 (2005) |
| [8] | Karsch, F.; Wyld, H. W., Phys. Rev. D, 35, 2518 (1987) |
| [9] | Aarts, G.; Martínez Resco, J. M., Nucl. Phys. B (Proc. Suppl.), 119, 505 (2003) · Zbl 1097.82555 |
| [10] | Karsch, F.; Laermann, E.; Petreczky, P.; Stickan, S., Phys. Rev. D, 68, 014504 (2003) |
| [11] | Braaten, E.; Pisarski, R. D., Nucl. Phys. B, 337, 569 (1990) |
| [12] | Braaten, E.; Pisarski, R. D.; Yuan, T. C., Phys. Rev. Lett., 64, 2242 (1990) |
| [13] | Karsch, F.; Mustafa, M. G.; Thoma, M. H., Phys. Lett. B, 497, 249 (2001) · Zbl 0971.81588 |
| [14] | Alberico, W. M.; Beraudo, A.; Molinari, A., Nucl. Phys. A, 750, 359 (2005) |
| [15] | Aurenche, P.; Gelis, F.; Kobes, R.; Zaraket, H., Phys. Rev. D, 58, 085003 (1998) |
| [16] | Arnold, P.; Moore, G. D.; Yaffe, L. G., JHEP, 0112, 009 (2001) |
| [17] | Aurenche, P.; Gelis, F.; Moore, G. D.; Zaraket, H., JHEP, 0212, 006 (2002) |
| [18] | Kadanoff, L. P.; Martin, P. C., Ann. Phys., 281, 800 (2000), Reprinted as |
| [19] | Valle Basagoiti, M. A., Phys. Rev. D, 66, 045005 (2002) |
| [20] | Aarts, G.; Martínez Resco, J. M., JHEP, 0211, 022 (2002) |
| [21] | Aarts, G.; Martínez Resco, J. M., JHEP, 0503, 074 (2005) |
| [22] | Carpenter, D. B.; Baillie, C. F., Nucl. Phys. B, 260, 103 (1985) |
| [23] | Kawamoto, N.; Smit, J., Nucl. Phys. B, 192, 100 (1981) |
| [24] | Karsten, L. H.; Smit, J., Nucl. Phys. B, 183, 103 (1981) |
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.
