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O(3) nonlinear sigma model in 1+1 dimensions with matrix product states
Falk Bruckmann, Karl Jansen, Stefan Kühn
We numerically study the spectral properties, the entanglement and the zero-temperature phase structure at nonvanishing chemical potential of the O(3) nonlinear sigma model. Using…
A Lattice Study of Renormalons in Asymptotically Free Sigma Models
Matthias Puhr, Falk Bruckmann
In general, perturbative expansions of observables in powers of the coupling constant in quantum field theories are asymptotic series. In many cases it is possible to apply resumma…
Rigorous construction of coherent state path integrals through dualization
Falk Bruckmann, Juan Diego Urbina
Two long-standing problems in the construction of coherent state path integrals, the unwarranted assumption of path continuity and the ambiguous definition of the Hamiltonian symbo…
Complex instantons in sigma models with chemical potential
Falk Bruckmann, Stephan Lochner
We analyze two-dimensional nonlinear sigma models at nonzero chemical potentials, which are governed by a complex action. In the spirit of contour deformations (thimbles) we extend…