Effective theory of squeezed correlation functions

Correlation measurement of squeezed light

Effective β-functions for Effective Field Theory

We consider the problem of determining the beta-functions for any reduced effective field theory. Even though not all the Green’s functions of a reduced effective field theory are renormalizable, unlike the full effective field theory, certain effective beta-functions for the reduced set of couplings may be calculated without having to introduce vertices in the Feynman rules for redundant opera...

Correlation Functions in Perturbation Theory

involving additional fields Φ̂I(z1)Φ̂I(z2) · · ·. Note that in eq. (3) the fields are in the interaction rather than Heisenberg picture, so they evolve with time as free fields according to the free Hamiltonian Ĥ0. Likewise, |0〉 is the free theory’s vacuum, i.e. the ground state of the free Hamiltonian Ĥ0 rather than the full Hamiltonian Ĥ. To work out the relation between (1) and (3), we start b...

Correlation functions in super Liouville theory.

We calculate threeand four-point functions in super Liouville theory coupled to super Coulomb gas on world sheets with spherical topology. We first integrate over the zero mode and assume that a parameter takes an integer value. After calculating the amplitudes, we formally continue the parameter to an arbitrary real number. Remarkably the result is completely parallel to the bosonic case, the ...

Logarithmic Correlation Functions in Liouville Field Theory

We study four-point correlation functions with logarithmic behaviour in Liouville field theory on a sphere, which consist of one kind of the local operators. We study them as non-integrated correlation functions of the gravitational sector of two-dimensional quantum gravity coupled to an ordinary conformal field theory in the conformal gauge. We also examine, in the (p, q) minimal conformal fie...