On the entropy operator for the general SU(1,1) TFD formulation

Abstract

In this letter, an entropy operator for the general unitary SU(1,1) TFD formulation is proposed and used to lead a bosonic system from zero to finite temperature. Namely, considering the closed bosonic string as the target system, the entropy operator is used to construct the thermal vacuum. The behaviour of such a state under the breve conjugation rules is analized and it was shown that the breve conjugation does not affect thermal effects. From this thermal vacuum the thermal energy, the entropy and the free energy of the closed bosonic string are calculated and the apropriated thermal distribution for the system is found after the free energy minimization.

arXiv comment13 pages, revtex4, minor typos corrected, references added

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Cited by in corpus (8)

• Entanglement from Dissipation and Holographic Interpretation
• Entanglement and entropy operator for strings in pp-wave time dependent background
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• String in AdS Black Hole: A Thermo Field Dynamic Approach
• Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring
• Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach
• Entanglement Entropy from TFD Entropy Operator
• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes