TY - JOUR
T1 - Adventures in thermal duality. II. Towards a duality-covariant string thermodynamics
AU - Dienes, Keith R.
AU - Lennek, Michael
N1 - Funding Information:
This work is supported in part by the National Science Foundation under Grants No. PHY-0071054 and No. PHY-0301998, and by the Research Corporation. We wish to thank S. Chaudhuri, I. Mocioiu, R. Roiban, S. Sethi, U. van Kolck, and especially C. Stafford for discussions.
PY - 2004/12
Y1 - 2004/12
N2 - In a recent companion paper, we observed that the rules of ordinary thermodynamics generally fail to respect thermal duality, a symmetry of string theory under which the physics at temperature T is related to the physics at the inverse temperature 1/T. Even when the free energy and internal energy exhibit the thermal duality symmetry, the entropy and specific heat are defined in such a way that this symmetry is destroyed. In this paper, we propose a modification of the traditional definitions of these quantities, yielding a manifestly duality-covariant thermodynamics. At low temperatures, these modifications produce corrections to the standard definitions of entropy and specific heat which are suppressed by powers of the string scale. These corrections may nevertheless be important for the full development of a consistent string thermodynamics. We find, for example, that the string-corrected entropy can be smaller than the usual entropy at high temperatures, suggesting a possible connection with the holographic principle. We also discuss some outstanding theoretical issues prompted by our approach.
AB - In a recent companion paper, we observed that the rules of ordinary thermodynamics generally fail to respect thermal duality, a symmetry of string theory under which the physics at temperature T is related to the physics at the inverse temperature 1/T. Even when the free energy and internal energy exhibit the thermal duality symmetry, the entropy and specific heat are defined in such a way that this symmetry is destroyed. In this paper, we propose a modification of the traditional definitions of these quantities, yielding a manifestly duality-covariant thermodynamics. At low temperatures, these modifications produce corrections to the standard definitions of entropy and specific heat which are suppressed by powers of the string scale. These corrections may nevertheless be important for the full development of a consistent string thermodynamics. We find, for example, that the string-corrected entropy can be smaller than the usual entropy at high temperatures, suggesting a possible connection with the holographic principle. We also discuss some outstanding theoretical issues prompted by our approach.
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U2 - 10.1103/PhysRevD.70.126006
DO - 10.1103/PhysRevD.70.126006
M3 - Article
AN - SCOPUS:37649028946
SN - 0556-2821
VL - 70
SP - 126006-1-126006-16
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 12
M1 - 126006
ER -