Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transmuting off-shell CHY integrals in the double-cover framework   In this paper, by defining off-shell amplitudes as off-shell CHY integrals,
and redefining the longitudinal operator, we demonstrate that the differential
operators which link on-shell amplitudes for a variety of theories together,
also link off-shell amplitudes in the similar manner. Based on the algebraic
property of the differential operator, we also generalize three relations among
color-ordered on-shell amplitudes, including the color-ordered reversed
relation, the photon decoupling relation, the Kleiss-Kuijf relation, to
off-shell ones. The off-shell CHY integrals are chosen to be in the
double-cover framework, thus, as a by product, our result also provides a
verification for the double-cover construction.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs