Quantum Corrections to Noncommutative Solitons
Miao Li
TL;DR
This paper computes one-loop quantum corrections to noncommutative soliton masses in a 2+1 dimensional scalar field theory and explores symmetry restoration in a double-well potential model.
Contribution
It provides the first detailed calculation of quantum corrections to noncommutative solitons and discusses potential symmetry restoration effects.
Findings
Quantum corrections to soliton mass are explicitly calculated.
Evidence suggests partial symmetry restoration in certain vacua.
The approach simplifies analysis of noncommutative solitons in scalar theories.
Abstract
Noncommutative solitons are easier to find in a noncommutative field theory. Similarly, the one-loop quantum corrections to the mass of a noncommutative soliton are easier to compute, in a real scalar theory in 2+1 dimensions. We carry out this computation in this paper. We also discuss the model with a double-well potential, and conjecture that there is a partial symmetry restoration in a vacuum state.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models