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2017

Conformal dimensions via large charge expansion

Banerjee, Debasish, Chandrasekharan, Shailesh, Orlando, Domenico

Understand

We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-$Q$ fields at the Wilson-Fisher fixed point in the $O(2)$ universality class.

Using it we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global $U(1)$ charge can be obtained via a series expansion in the inverse charge $1/Q$.
We find that the conformal dimensions of the lowest operator with a fixed charge $Q$ are almost entirely determined by the first few terms in the series.

Built on

J. L. Cardy, J. Phys. A17
1984
Earlier work this paper cites.
J. L. Cardy, J. Phys. A18
1985
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Lett. 43
1986
Earlier work this paper cites.
J. Polchinski, Nucl. Phys. B303
1988
Earlier work this paper cites.
U. Wolff, Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
J. M. Maldacena, Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
M. Hasenbusch and T. Török, J. Phys. A32
1999
Earlier work this paper cites.
J. M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B61
2000
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B63
2001
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B65
2002
Earlier work this paper cites.
P. Calabrese, A. Pelissetto, and E. Vicari, Phys. Rev. B67
2003
Earlier work this paper cites.
M. De Prato, A. Pelissetto, and E. Vicari, Phys. Rev. B68
2003
Earlier work this paper cites.