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

Journal Article · Fri Apr 10 00:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392000835· OSTI ID:5139446

Das, S R; Dhar, A; Mandal, G; Wadia, S R ^[1]

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1. Tata Inst. of Fundamental Research, Homi Bhabha Road, Bombay 400 005 (IN)

In this paper, the authors explore consequences of W-infinity symmetry in the fermionic field theory of the c = 1 matrix model. The authors 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. The authors use thee identities to calculate the two-point function of the bilocal operator in the double scaling limit. The authors extract the operator whose two-point correlator has a single pole at an (imaginary) integer value of the energy. The authors 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.

• OSTI ID: 5139446
• Journal Information: Modern Physics Letters A; (Singapore), Vol. 7:11; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
WARD IDENTITY
CORRELATION FUNCTIONS
EQUATIONS
FERMIONS
MATRICES
PARTICLE MODELS
PARTITION FUNCTIONS
POTENTIALS
SCALING LAWS
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
FUNCTIONS
MATHEMATICAL MODELS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)