Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopical Computations in Quantum Fields Theory   This paper is a mathematical study of quantum correlation functions in
quantum field theory within a homotopy algebraic framework motivated from the
BV quantization scheme. We characterize quantum correlation functions by
algebraic homotopy theoretical methods which circumvent gauge fixing and
perturbative Feynman diagrams. We show that there is a universal algebraic
structure, closely related with that of the WDVV equation, governing quantum
correlation functions of every quantum field theory in our framework up to a
certain ambiguity. The algebraic structure is independent of the details of the
quantum expectation, other than its existence with the prescribed symmetry, and
comes with a concrete algorithm for explicit computations. We will also make
proposals for the precise natures of quantum expectation and physical
equivalence of quantum field theories.

35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con