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The Canonical Approach at High Temperature Revisited
Kouji Kashiwa1, Hiroaki Kouno2
1Department of Computer Science and Engineering, Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan.
Abstract:
This study examines an apparent discrepancy that can arise between the canonical construction and the Taylor expansion constructed from a high-temperature thermodynamic potential restricted to the trivial Polyakov-loop sector in the presence of the Roberge-Weiss transition. We show that the discrepancy originates from the distinction between the full Roberge-Weiss-periodic partition function and a representation restricted to a single Polyakov-loop sector. We further discuss how this distinction is affected by the thermodynamic limit and why it does not cause a problem for the standard finite-volume canonical formulation used in lattice QCD simulations. We also discuss how to connect the full RW-periodic partition function with a single-sector expression in the thermodynamic limit.
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