Can the Hagedorn Phase Transition be explained from Matrix Model for Strings?

Abstract

The partition function of BFSS matrix model is studied for two different classical backgrounds upto 1-loop level. One of the backgrounds correspond to a membrane wrapped around a compact direction and another to a localized cluster of $D0$-branes. It is shown there exist phase transitions between these two configurations - but only in presence of an IR cut-off. The low temperature phase corresponds to a string (wrapped membrane) phase and so we call this the Hagedorn phase transition. While the presence of an IR cut-off seemingly is only required for perturbative analysis to be valid, the physical necessity of such a cut-off can be seen in the dual supergravity side. It has been argued from entropy considerations that a finite size horizon must develop even in an extremal configuration of D0-branes, from higher derivative $O(g_s)$ corrections to supergravity. It can then be shown that the Hagedorn like transition exists in supergravity also. Interestingly the perturbative analysis also shows a second phase transition back to a string phase. This is also reminiscent of the Gregory-Laflamme instability.

minor changes

Cited by in corpus (13)

• Thermal Duality and Hagedorn Transition from p-adic Strings
• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• Emergence and oscillation of cosmic space by joining M1-branes
• Cosmology from quantum potential in brane-anti-brane system
• Emergence and expansion of cosmic space as due to M0-branes
• Emergence of F(R) gravity-analogue due to defects in graphene
• The birth of the universe in a new G-Theory approach
• Supersymmetric black holes and $T\bar{T}$ deformation
• Cosmology from quantum potential in a system of oscillating branes
• Cosmological expansion and contraction from Pauli exclusion principle in $M0$-branes
• On the origin of generalized uncertainty principle from compactified M5-brane
• Quarkonium in a thermal BIon
• The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes