Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic continuous matrix product states for quantum fields without
  cutoff   I introduce a modification of continuous matrix product states (CMPS) that
makes them adapted to relativistic quantum field theories (QFT). These
relativistic CMPS can be used to solve genuine 1+1 dimensional QFT without UV
cutoff and directly in the thermodynamic limit. The main idea is to work
directly in the basis that diagonalizes the free part of the model considered,
which allows to fit its short distance behavior exactly. This makes
computations slightly less trivial than with standard CMPS. However, they
remain feasible and I present all the steps needed for the optimization. The
asymptotic cost as a function of the bond dimension remains the same as for
standard CMPS. I illustrate the method on the self-interacting scalar field,
a.k.a. the $\phi^4_2$ model. Aside from providing unequaled precision in the
continuum, the numerical results obtained are truly variational, and thus
provide rigorous energy upper bounds.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn