Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-perturbative Anomalies in $d=2$ QFT   We present the first rigorous construction of the QFT Thirring model, for any
value of the mass, in a functional integral approach, by proving that a set of
Grassmann integrals converges, as the cutoffs are removed, to a set of
Schwinger functions verifying the Osterwalder-Schrader axioms. The massless
limit is investigated and it is shown that the Schwinger functions have
different properties with respect to the ones of the well known exact solution:
the Ward Identities have anomalies violating the anomaly non-renormalization
property and additional anomalies, apparently unnoticed before, are present in
the closed equation for the interacting propagator, obtained by combining a
Schwinger-Dyson equation with Ward Identities.

19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th