Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical Theory of Locally Coherent Quantum Many-Body Fermionic
  System   Recently Wang and Cheng proposed a self-consistent effective Hamiltonian
theory (SCEHT) for many-body fermionic systems (Wang & Cheng, 2019). This paper
attempts to provide a mathematical foundation to the formulation of the SCEHT
that enables further study of excited states of the system in a more systematic
and theoretical manner. Gauge fields are introduced and correct total energy
functional in relations to the coupling gauge field is given. We also provides
a Monte-Carlo numerical scheme for the search of the ground state that goes
beyond the SCEHT.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess