Spontaneous breaking of translational invariance in non-commutative lambda phi^4 theory in two dimensions
Paolo Castorina, Dario Zappal\`a
TL;DR
This paper investigates the spontaneous breaking of translational invariance in a two-dimensional non-commutative scalar field theory, confirming the existence of a stripe phase through effective action analysis aligned with lattice simulation results.
Contribution
It provides an analytical confirmation of the stripe phase in non-commutative scalar field theory, expanding understanding of phase structures in non-local quantum field theories.
Findings
Confirmation of stripe phase existence in non-commutative scalar field theory
Effective action techniques validate lattice simulation observations
Non-local dynamics induce spontaneous translational symmetry breaking
Abstract
The spontaneous breaking of of translational invariance in non-commutative self-interacting scalar field theory in two dimensions is investigated by effective action techniques. The analysis confirms the existence of the stripe phase, already observed in lattice simulations, due to the non-local nature of the non-commutative dynamics.
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