Non-renormalization for the Liouville wave function

Using an exact functional method, within the framework of the gradient expansion for the Liouville effective action, we show that the kinetic term for the Liouville field is not renormalized.

[1]  N. Mavromatos,et al.  Antisymmetric-tensor and electromagnetic effects in an α′-non-perturbative four-dimensional string cosmology , 2007, 0708.1154.

[2]  A. Weltman,et al.  Cosmological moduli dynamics , 2007, hep-th/0702220.

[3]  N. Mavromatos,et al.  Non-perturbative formulation of non-critical string models , 2006, hep-th/0611228.

[4]  S. Nagy,et al.  Generalized universality in the massive sine-Gordon model , 2006, hep-th/0611216.

[5]  N. Mavromatos,et al.  Non-Perturbative Formulation of Time-Dependent String Solutions , 2006, hep-th/0610072.

[6]  K. Farakos,et al.  Control of quantum fluctuations for a Yukawa interaction in the Kaluza–Klein picture , 2006, hep-ph/0603016.

[7]  Y. Nakayama.  Liouville Field Theory — A decade after the revolution , 2004, hep-th/0402009.

[8]  J. Alexandre.  Non-renormalization for planar Wess-Zumino model , 2003, hep-th/0311266.

[9]  J. Alexandre,et al.  Functional Callan-Symanzik equation for QED , 2001, hep-th/0111152.

[10]  J. Teschner.  Liouville theory revisited , 2001, hep-th/0104158.

[11]  J. Alexandre.  QED in external fields: A functional point of view , 2001, hep-th/0101112.

[12]  J. Alexandre,et al.  Functional Callan–Symanzik Equations , 2000, hep-th/0010128.

[13]  T. Morris.  Elements of the Continuous Renormalization Group , 1998, hep-th/9802039.

[14]  C. Wetterich,et al.  Quantum Liouville field theory as solution of a flow equation , 1996, hep-th/9605039.

[15]  A. Zamolodchikov,et al.  Conformal bootstrap in Liouville field theory , 1995 .

[16]  H. Dorn,et al.  Two and three point functions in Liouville theory , 1994, hep-th/9403141.

[17]  Gregory W. Moore,et al.  Lectures on 2-D gravity and 2-D string theory , 1993 .

[18]  J. Distler,et al.  Conformal Field Theory and 2D Quantum Gravity , 1989 .

[19]  F. David.  CONFORMAL FIELD THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE , 1988 .

[20]  R. Jackiw,et al.  Classical and quantal Liouville field theory , 1982 .

[21]  A. Houghton,et al.  Renormalization group equation for critical phenomena , 1973 .