24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

Lattice Conformal Field theory on Curved Manifolds

27 Jul 2016, 10:20
20m
Building B2a Room 2077 (Highfield Campus, University of Southampton)

Building B2a Room 2077

Highfield Campus, University of Southampton

Talk Theoretical Developments Theoretical Developments

Speaker

Prof. Richard Richard Brower (Boston University)

Description

A Quantum Finite Element (QFE) Lagrangian is formulated for a general simplicial complex approximation to a smooth Euclidean Riemann manifold. The construction is applied to Wilson Dirac fermions with the appropriate lattice spin connection and to phi 4th-theory with QFE counter terms required for these theories to converge in the continuum limit. Numerical tests are given for the Wilson-Fisher fixed point in 2D with comparison to the exact solution of the Ising CFT on the two sphere and for the 3D phi 4th-theory in radial quantization. Potential future applications to more general 3D conformal field theories and 4D Beyond the Standard Model (BSM) gauge theories near the conformal window are suggested.

Primary author

Prof. Richard Richard Brower (Boston University)

Co-authors

Mr Andrew Gasbarro (Yale University) Mr Chung-I Tan (Brown University) Dr Evan Weinberg (Boston University) Dr George Fleming (Yale University) Mr Timoty Raben (Brown University)

Presentation Materials