scholarly journals More general correlation functions of twist fields from Ward identities in the massive Dirac theory

2012 ◽  
Vol 45 (19) ◽  
pp. 195401 ◽  
Author(s):  
James Silk
Keyword(s):  
Correlation Functions ◽  
Dirac Theory ◽  
Ward Identities ◽  
General Correlation ◽  
Twist Fields

scholarly journals YUKAWA COUPLINGS FOR BOSONIC ZN ORBIFOLDS: THEIR MODULI AND TWISTED SECTOR DEPENDENCE

1992 ◽  
Vol 07 (33) ◽  
pp. 3059-3070 ◽  
Author(s):  
S. STIEBERGER ◽  
D. JUNGNICKEL ◽  
J. LAUER ◽  
M. SPALIŃSKI
Keyword(s):  
Correlation Functions ◽  
Target Space ◽  
Twisted Sector ◽  
Yukawa Couplings ◽  
Point Correlation ◽  
Field Correlation ◽  
Twist Fields

The three-point correlation functions with twist fields are determined for bosonic ZN orbifolds. Both the choice of the modular background (compatible with the twist) and of the (higher) twisted sectors involved are fully general. We point out a necessary restriction on the set of instantons contributing to twist field correlation functions not obtained in previous calculations. Our results show that the theory is target space duality invariant.

scholarly journals Gauge Dressing of 2D Field Theories

1997 ◽  
Vol 12 (13) ◽  
pp. 2425-2436 ◽  
Author(s):  
Ian I. Kogan ◽  
Alex Lewis ◽  
Oleg A. Soloviev
Keyword(s):  
Correlation Functions ◽  
Field Theories ◽  
Ward Identities ◽  
Zamolodchikov Equation

By using the gauge Ward identities, we study correlation functions of gauged WZNW models. We show that the gauge dressing of the correlation functions can be taken into account as a solution of the Knizhnik–Zamolodchikov equation. Our method is analogous to the analysis of the gravitational dressing of 2D field theories.

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

1992 ◽  
Vol 07 (11) ◽  
pp. 937-953 ◽  
Author(s):  
SUMIT R. DAS ◽  
AVINASH DHAR ◽  
GAUTAM MANDAL ◽  
SPENTA R. WADIA
Keyword(s):  
Matrix Model ◽  
Correlation Functions ◽  
Scaling Limit ◽  
Three Dimensional ◽  
Dimensional Theory ◽  
Fermionic Field ◽  
Ward Identities ◽  
The Matrix ◽  
Dependent Potential ◽  
General Time

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.

scholarly journals LIOUVILLE THEORY: WARD IDENTITIES FOR GENERATING FUNCTIONAL AND MODULAR GEOMETRY

1994 ◽  
Vol 09 (25) ◽  
pp. 2293-2299 ◽  
Author(s):  
LEON A. TAKHTAJAN
Keyword(s):  
Moduli Spaces ◽  
Correlation Functions ◽  
Riemann Surfaces ◽  
Central Charge ◽  
Perturbation Expansion ◽  
Liouville Theory ◽  
Energy Tensor ◽  
Ward Identities ◽  
Generating Functional ◽  
Local Index

We continue the study of quantum Liouville theory through Polyakov’s functional integral,1,2 started in Ref. 3. We derive the perturbation expansion for Schwinger’s generating functional for connected multi-point correlation functions involving stress-energy tensor, give the “dynamical” proof of the Virasoro symmetry of the theory and compute the value of the central charge, confirming previous calculation in Ref. 3. We show that conformal Ward identities for these correlation functions contain such basic facts from Kähler geometry of moduli spaces of Riemann surfaces, as relation between accessory parameters for the Fuchsian uniformization, Liouville action and Eichler integrals, Kähler potential for the Weil-Petersson metric, and local index theorem. These results affirm the fundamental role that universal Ward identities for the generating functional play in Friedan-Shenker modular geometry.4

scholarly journals General correlation functions in the Schwinger model at zero and finite temperature

1995 ◽  
Vol 452 (3) ◽  
pp. 545-560 ◽  
Author(s):  
James V. Steele ◽  
Ajay Subramanian ◽  
Ismail Zahed
Keyword(s):  
Correlation Functions ◽  
Finite Temperature ◽  
General Correlation ◽  
Schwinger Model
Sign in / Sign up

Export Citation Format

Share Document