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BIBTEX RIS

W-INFINITY WARD IDENTITIES AND CORRELATION FUNCTIONS IN THE c=1 MATRIX MODEL

1992; World Scientific; Volume: 07; Issue: 11 Linguagem: Inglês

10.1142/s0217732392000835

ISSN

1793-6632

Autores

Sumit R. Das, Avinash Dhar, Gautam Mandal, Spenta R. Wadia,

Tópico(s)

Numerical methods in inverse problems

Resumo

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.

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