Batalin–Vilkovisky quantization of fuzzy field theories

Quantization of Non-Polynomial Field Theories

Quantization of Non-polynomial Field Theories

We reexamine the quantization of a class of non-polynomial scalar field theories which interpolates continuously from a free one to φ 4 theory. The quantization of such theories is problematic because the Feynman rules may not be directly obtained. We give a means for calculating the correlation functions in this theory. The Feynman rules developed here shall enable further progress in the unde...

Quantization of field theories in the presence of boundaries

This paper reviews the progress made over the last five years in studying boundary conditions and semiclassical properties of quantum fields about 4-realdimensional Riemannian backgrounds. For massless spin2 fields one has a choice of spectral or supersymmetric boundary conditions, and the corresponding conformal anomalies have been evaluated by using zeta-function regularization. For Euclidean...

Lightcone Quantization of String Theory Duals of Free Field Theories

We quantize in light cone gauge the bosonic sector of string theory on Anti-de Sitter space in the zero curvature radius limit. We find that the worldsheet falls apart into a theory of free partons and map the Hilbert space of the string theory to the Hilbert space of a free scalar in light-front description. We outline how the string worldsheet reproduces the field theory at weak coupling.

Field Theory on the q–deformed Fuzzy Sphere II: Quantization

We study the second quantization of field theory on the q–deformed fuzzy sphere for q ∈ R. This is performed using a path integral over the modes, which generate a quasiassociative algebra. The resulting models have a manifest Uq(su(2)) symmetry with a smooth limit q → 1, and satisfy positivity and twisted bosonic symmetry properties. A systematic way to calculate n–point correlators in perturb...