Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-loop effective potential for two-dimensional competing scalar order
  parameters   Using the method of the effective potential of quantum field theory, we
compute the quantum corrections to the phase diagram of systems with competing
order parameters. This is specially useful to study metallic systems with
competing antiferromagnetic and superconducting ground states. We focus on the
two-dimensional (2d) case that is relevant for high Tc superconductors and
heavy fermion systems. We consider two different types of couplings between the
order parameters and obtain the modifications in the phase diagrams due to
critical quantum fluctuations in these systems with conflicting orders. We
consider z = 1, as well as, a dissipative z = 2 dynamics, typical of
antiferromagnetic metals close to the magnetic quantum critical point. Our
results, when compared to those in the 3d case, show that these depend strongly
on both dimensionality and dynamics of the propagators describing the
excitations of the possible ordered states. We find stable unconventional
coexisting phases, as well as, the enhancement of the region of coexistence by
fluctuations. These effects may be observed experimentally in many interesting
cases of strongly correlated materials.

2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an