5 papers
Testing Scalar Field Self-Dualities in d=2 using a Variational Method
Paul Romatschke, Ulrike Romatschke
Recently, self-dualities based on saddle-point expansions have been proposed as a means to obtain qualitative non-perturbative information in scalar field theories. In this work, w…
On self-dualities for scalar theory
Paul Romatschke
Scalar field theory is studied by constructing interacting saddle point expansions in the symmetric and broken phase, respectively. Focusing on analytically tractable saddle expans…
Phase Diagram and Finite Temperature Properties of Negative Coupling Scalar Field Theory
Paul Romatschke
In this work, I consider scalar field theory with negative quartic self-interaction, corresponding to an upside-down classical potential. Despite not possessing a classically stabl…
Vanishing Polyakov Loop for QCD with Twelve Massless Quarks
Seth Grable, Paul Romatschke
We consider continuum-formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(\(N\)) gauge field into background and fluctuation parts,…
On the negative coupling O(N) model in 2d at high temperature
Paul Romatschke
In this work, I consider N-component scalar quantum field theory in two dimensions interacting with an upside-down quartic potential. Working in the large N limit, the model can be…