Spectroscopy from canonical partition functions

Zoltán Fodor; Kálmán K. Szabó; Bálint C. Tóth

Spectroscopy from canonical partition functions

Zoltán Fodor, Kálmán K. Szabó, Bálint C. Tóth

Physics

Research output: Contribution to journal › Conference article › peer-review

Abstract

A spectroscopical method for staggered fermions based on thermodynamical considerations is proposed. The canonical partition functions corresponding to the different quark number sectors are expressed in the low temperature limit as polynomials of the eigenvalues of the reduced fermion matrix. Taking the zero temperature limit yields the masses of the lowest states. The method is successfully applied to the Goldstone pion and both dynamical and quenched results are presented showing good agreement with that of standard spectroscopy. Though in principle the method can be used to obtain the baryon and dibaryon masses, due to their high computational costs such calculations are practically unreachable.

Original language	English (US)
Journal	Proceedings of Science
Volume	32
State	Published - 2006
Event	24th International Symposium on Lattice Field Theory, LATTICE 2006 - Tucson, United States Duration: Jul 23 2006 → Jul 28 2006

All Science Journal Classification (ASJC) codes

General

Cite this

@article{a870379f5dd04270a5d1daa25d7a54d8,

title = "Spectroscopy from canonical partition functions",

abstract = "A spectroscopical method for staggered fermions based on thermodynamical considerations is proposed. The canonical partition functions corresponding to the different quark number sectors are expressed in the low temperature limit as polynomials of the eigenvalues of the reduced fermion matrix. Taking the zero temperature limit yields the masses of the lowest states. The method is successfully applied to the Goldstone pion and both dynamical and quenched results are presented showing good agreement with that of standard spectroscopy. Though in principle the method can be used to obtain the baryon and dibaryon masses, due to their high computational costs such calculations are practically unreachable.",

author = "Zolt{\'a}n Fodor and Szab{\'o}, {K{\'a}lm{\'a}n K.} and T{\'o}th, {B{\'a}lint C.}",

note = "Funding Information: We would like to thank G. I. Egri, C. Hoelbling and S. D. Katz for their help. This research was partially supported by OTKA Hungarian Science Grants No. T34980, T37615, M37071, T032501, AT049652 and by DFG German Research Grant No. FO 502/1-1. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 24th International Symposium on Lattice Field Theory, LATTICE 2006 ; Conference date: 23-07-2006 Through 28-07-2006",

year = "2006",

language = "English (US)",

volume = "32",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

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TY - JOUR

T1 - Spectroscopy from canonical partition functions

AU - Fodor, Zoltán

AU - Szabó, Kálmán K.

AU - Tóth, Bálint C.

N1 - Funding Information: We would like to thank G. I. Egri, C. Hoelbling and S. D. Katz for their help. This research was partially supported by OTKA Hungarian Science Grants No. T34980, T37615, M37071, T032501, AT049652 and by DFG German Research Grant No. FO 502/1-1. Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2006

Y1 - 2006

N2 - A spectroscopical method for staggered fermions based on thermodynamical considerations is proposed. The canonical partition functions corresponding to the different quark number sectors are expressed in the low temperature limit as polynomials of the eigenvalues of the reduced fermion matrix. Taking the zero temperature limit yields the masses of the lowest states. The method is successfully applied to the Goldstone pion and both dynamical and quenched results are presented showing good agreement with that of standard spectroscopy. Though in principle the method can be used to obtain the baryon and dibaryon masses, due to their high computational costs such calculations are practically unreachable.

AB - A spectroscopical method for staggered fermions based on thermodynamical considerations is proposed. The canonical partition functions corresponding to the different quark number sectors are expressed in the low temperature limit as polynomials of the eigenvalues of the reduced fermion matrix. Taking the zero temperature limit yields the masses of the lowest states. The method is successfully applied to the Goldstone pion and both dynamical and quenched results are presented showing good agreement with that of standard spectroscopy. Though in principle the method can be used to obtain the baryon and dibaryon masses, due to their high computational costs such calculations are practically unreachable.

UR - http://www.scopus.com/inward/record.url?scp=85055691720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055691720&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85055691720

SN - 1824-8039

VL - 32

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 24th International Symposium on Lattice Field Theory, LATTICE 2006

Y2 - 23 July 2006 through 28 July 2006

ER -

Spectroscopy from canonical partition functions

Abstract

All Science Journal Classification (ASJC) codes

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