Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Angular Momentum in General Quantum Field Theory   It is proven that for each given two-field channel - called the
``t-channel''- with (off-shell) ``scattering angle'' $\Theta_t$, the four-point
Green's function of any scalar Quantum Fields satisfying the basic principles
of locality, spectral condition together with temperateness admits a
Laplace-type transform in the corresponding complex angular momentum variable
$\lambda_t$, dual to $\Theta_t$. This transform enjoys the following
properties: a) it is holomorphic in a half-plane of the form $Re \lambda_t >
m$, where m is a certain ``degree of temperateness'' of the fields considered,
b) it is in one-to-one (invertible) correspondence with the (off-shell)
``absorptive parts'' in the crossed two-field channels, c) it extrapolates in a
canonical way to complex values of the angular momentum the coefficients of the
(off-shell) t-channel partial-wave expansion of the Euclidean four-point
function of the fields. These properties are established for all space-time
dimensions d+1 with $d \ge 2$.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat