Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere   We find using Monte Carlo simulation the phase structure of noncommutative
U(1) gauge theory in two dimensions with the fuzzy sphere S^2_N as a
non-perturbative regulator. There are three phases of the model. i) A matrix
phase where the theory is essentially SU(N) Yang-Mills reduced to zero
dimension . ii) A weak coupling fuzzy sphere phase with constant specific heat
and iii) A strong coupling fuzzy sphere phase with non-constant specific heat.
The order parameter distinguishing the matrix phase from the sphere phase is
the radius of the fuzzy sphere. The three phases meet at a triple point. We
also give the theoretical one-loop and 1/N expansion predictions for the
transition lines which are in good agreement with the numerical data. A Monte
Carlo measurement of the triple point is also given.

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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an