Welcome to the new Indico service!
OKC - Theory Working Group

Symmetries under reflecting temperature to negative values

by David McGady (NBI, Copenhagen)

Nordita east wing 132:028 ()

Nordita east wing 132:028

Partition functions' convergence in e.g. statistical mechanics seem deeply tied to temperature's positivity. Surprisingly, one can explicitly check that many model partition functions are invariant under reflecting their temperature-parameter to negative values (T-reflection). Demanding this invariance selects a unique vacuum energy of the system. Finite temperatures in relativistic quantum field theory are introduced through putting the theory on a circle of radius 1/T; T-reflection seems deeply tied to a redundancy in the geometry of this so-called thermal circle. It has already revealed both two-dimensional structures governing four-dimensional physics, and new aspects of deep theorems in modern mathematics.