Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group analysis of competition between distinct order
  parameters   We perform a detailed renormalization group analysis to study a
(2+1)-dimensional quantum field theory that is composed of two interacting
scalar bosons, which represent the order parameters for two continuous phase
transitions. This sort of field theory can describe the competition and
coexistence between distinct long-range orders, and therefore plays a vital
role in statistical physics and condensed matter physics. We first derive and
solve the renormalization group equations of all the relevant physical
parameters, and then show that the system does not have any stable fixed point
in the lowest energy limit. Interestingly, this conclusion holds in both the
ordered and disordered phases, and also at the quantum critical point.
Therefore, the originally continuous transitions are unavoidably turned to
first-order due to ordering competition. Moreover, we examine the impacts of
massless Goldstone boson generated by continuous symmetry breaking on ordering
competition, and briefly discuss the physical implications of our results.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
1
The categories of this paper are: cs
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio