Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Five-loop epsilon expansion for U(n)xU(m) models: finite-temperature
  phase transition in light QCD   We consider the U(n)xU(m) symmetric Phi^4 Lagrangian to describe the
finite-temperature phase transition in QCD in the limit of vanishing quark
masses with n=m=N_f flavors and unbroken anomaly at T_c. We compute the
Renormalization Group functions to five-loop order in Minimal Subtraction
scheme. Such higher order functions allow to describe accurately the
three-dimensional fixed-point structure in the plane (n,m), and to reconstruct
the line n^+(m,d) which limits the region of second-order phase transitions by
an expansion in epsilon=4-d. We always find n^+(m,3)>m, thus no
three-dimensional stable fixed point exists for $n=m$ and the finite
temperature transition in light QCD should be first-order. This result is
confirmed by the pseudo-epsilon analysis of massive six-loop three dimensional
series.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics