Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
The massive Schwinger model is studied, using a density matrix renormalisation group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit are almost two orders of magnitude more accurate than previous calculations. Coleman's picture of `half-asymptotic' particles at background field theta = pi is confirmed. The predicted phase transition at finite fermion mass (m/g) is accurately located, and demonstrated to belong in the 2D Ising universality class.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 3roles
background 1polarities
background 1representative citing papers
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
Abelian 2d gauge theories show rich phase structure with c=1 and c=1/2 critical lines; chiral versions realize symmetric mass generation for fermions.
citing papers explorer
-
The two-flavor Schwinger model at 50: Solving Coleman's puzzles
Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
-
Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
-
Phases of 2d Gauge Theories and Symmetric Mass Generation
Abelian 2d gauge theories show rich phase structure with c=1 and c=1/2 critical lines; chiral versions realize symmetric mass generation for fermions.