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Logarithmic corrections to finite-size spectrum of SU(N) symmetric quantum chains

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Kingshuk Majumdar1 and Manash Mukherjee2,3

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LETTER TO THE EDITOR

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 is discussed. Logarithmic corrections to the ground state energy and different types of excited states in the presence of a marginal operator are calculated. The known results for SU(2) and SU(4) symmetric systems follow from our general formula.


PACS

11.25.Hf Conformal field theory, algebraic structures

02.20.-a Group theory

11.30.Ly Other internal and higher symmetries

MSC

81T40 Two-dimensional field theories, conformal field theories, etc.

81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 38 (27 September 2002)

Received 25 June 2002

Published 12 September 2002



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