Spontaneous breaking of translational invariance in non-commutative lambda phi^4 theory in two dimensions

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.

7 pages, 2 figures

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Cited by in corpus (9)

• Probing the fuzzy sphere regularisation in simulations of the 3d λϕ^4 model
• Detecting scaling in phase transitions on the truncated Heisenberg algebra
• Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model
• Scalar fields in a non-commutative space
• Topological stability of broken symmetry on fuzzy spheres
• Phase transitions in a ${\Phi }^4$ matrix model on a curved noncommutative space
• Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory
• Symmetry breaking in nonuniform noncommutative $\lambda {\varphi }^4$ theory at finite temperature
• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature