Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\kappa$-Poincar\'e invariant quantum field theories with KMS weight   A natural star product for 4-d $\kappa$-Minkowski space is used to
investigate various classes of $\kappa$-Poincar\'e invariant scalar field
theories with quartic interactions whose commutative limit coincides with the
usual $\phi^4$ theory. $\kappa$-Poincar\'e invariance forces the integral
involved in the actions to be a twisted trace, thus defining a KMS weight for
the noncommutative (C*-)algebra modeling the $\kappa$-Minkowski space. The
associated modular group and Tomita modular operator are characterized. In all
the field theories, the twist generates different planar one-loop contributions
to the 2-point function which are at most UV linearly diverging. Some of these
theories are free of UV/IR mixing. In the others, UV/IR mixing shows up in
non-planar contributions to the 2-point function as a polynomial singularity at
exceptional zero external momenta while staying finite at non-zero external
momenta. These results are discussed together with the possibility for the KMS
weight relative to the quantum space algebra to trigger the appearance of KMS
state on the algebra of observables.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio