W-infinity ward identities and correlation functions in the c=1 matrix model

Das, Sumit R. ; Dhar, Avinash ; Mandal, Gautam ; Wadia, Spenta R. (1992) W-infinity ward identities and correlation functions in the c=1 matrix model Modern Physics Letters A, 7 (11). pp. 937-953. ISSN 0217-7323

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Official URL: http://www.worldscinet.com/mpla/07/0711/S021773239...

Related URL: http://dx.doi.org/10.1142/S0217732392000835

Abstract

We explore consequences of W-infinity symmetry in the fermionic field theory of the c=1 matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator. These identities can be expressed as equations satisfied by the effective action of a three-dimensional theory and contain non-perturbative information about the model. We use these identities to calculate the two-point function of the bilocal operator in the double scaling limit. We extract the operator whose two-point correlator has a single pole at an (imaginary) integer value of the energy. We then rewrite the W-infinity charges in terms of operators in the matrix model and use this to derive constraints satisfied by the partition function of the matrix model with a general time dependent potential.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Co Pte Ltd.
ID Code:8766
Deposited On:28 Oct 2010 10:53
Last Modified:16 May 2016 18:42

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