A NOVEL REPRESENTATION FOR THE FREE-ENERGY IN STRING THEORY AT NONZERO TEMPERATURE

被引：11

作者：

BYTSENKO, AA

ELIZALDE, E

ODINTSOV, SD

ZERBINI, S

机构：

[1] UNIV BARCELONA,FAC PHYS,DEPT ECM,E-08028 BARCELONA,SPAIN

[2] HIROSHIMA UNIV,FAC SCI,DEPT PHYS,HIROSHIMA 734,JAPAN

[3] UNIV TRENT,DEPT PHYS,I-38050 TRENT,ITALY

[4] INFN,COLL GRP,TRENT,ITALY

来源：

NUCLEAR PHYSICS B | 1993年 / 394卷 / 02期

基金：

日本学术振兴会;

关键词：

D O I：

10.1016/0550-3213(93)90021-G

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A novel representation - in terms of a Laurent series - for the free energy of string theory at non-zero temperature is constructed. The examples of open bosonic, open supersymmetric and closed bosonic strings are studied in detail. In all these cases the Laurent series representation for the free energy is obtained explicitly. It is shown that the Hagedorn temperature arises in this formalism as the convergence condition (specifically, the radius of convergence) of the corresponding Laurent series. Some prospects for further applications are also discussed. In particular, an attempt to describe string theory above the Hagedorn temperature - via Borel analytical continuation of the Laurent series representation - is provided.

引用

页码：423 / 442

页数：20

共 36 条

[11] SUM-RULES FOR SPECTRAL DENSITIES OF DIFFERENTIAL-OPERATORS AND GENERALIZED HEAT KERNEL-EXPANSION [J].

COGNOLA, G ;

VANZO, L ;

ZERBINI, S .

PHYSICS LETTERS B, 1989, 223 (3-4) :416-420

[12] STRING DISTRIBUTIONS ABOVE THE HAGEDORN ENERGY DENSITY [J].

DEO, N ;

JAIN, S ;

TAN, CI .

PHYSICAL REVIEW D, 1989, 40 (08) :2626-2635

[13] CHEMICAL-POTENTIALS IN CURVED SPACE [J].

DOWKER, JS ;

SCHOFIELD, JP .

NUCLEAR PHYSICS B, 1989, 327 (01) :267-284

[14] RIGOROUS EXTENSION OF THE PROOF OF ZETA-FUNCTION REGULARIZATION [J].

ELIZALDE, E ;

ROMEO, A .

PHYSICAL REVIEW D, 1989, 40 (02) :436-443

[15]

ELIZALDE E, 1992, INT J MOD PHYS A, V47, P7365

[16] UNIVERSALITY OF THE CLOSED STRING PHASE-TRANSITION [J].

ENGLERT, F ;

ORLOFF, J .

NUCLEAR PHYSICS B, 1990, 334 (02) :472-488

[17]

ERDELYI A, 1953, HIGHER TRNSCENDENTAL, V1

[18]

ERDELYI A, 1953, HIGHER TRNSCENDENTAL, V2

[19]

FUBINI S, 1969, NUOVO CIMENTO A, V64, P1640

[20] VERY HOT SUPERSTRINGS [J].

GLEISER, M ;

TAYLOR, JG .

PHYSICS LETTERS B, 1985, 164 (1-3) :36-42

← 1 2 3 4 →