Logarithmic corrections to finite size spectrum of SU(N) symmetric quantum chains
Kingshuk Majumdar, Manash Mukherjee
TL;DR
This paper analyzes SU(N) symmetric quantum chains at finite temperature, focusing on logarithmic corrections to energies and correlation lengths using conformal field theory, extending known results for specific cases.
Contribution
It provides a general formula for logarithmic corrections in SU(N) systems, applicable to various N, and discusses different excited state types.
Findings
Derived logarithmic corrections to ground state energy.
Extended known results to SU(N) with general N.
Discussed excited state types in the presence of marginal operators.
Abstract
We consider SU(N) symmetric one dimensional quantum chains at finite temperature. For such systems the correlation lengths, ground state energy, and excited state energies are investigated in the framework of conformal field theory. The possibility of different types of excited states are discussed. Logarithmic corrections to the ground state energy and different types of excited states in the presence of a marginal opeartor, are calculated. Known results for SU(2) and SU(4) symmetric systems follow from our general formula.
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