Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum generated vortices, dual singular gauge transformation and zero
  temperature transition from d-wave superconductor to underdoped regime   By extending the original Anderson singular gauge transformation for static
vortices to two mutual flux-attaching singular gauge transformations for moving
vortices, we derive an effective action describing the zero temperature quantum
phase transition from d-wave superconductor to underdoped regime. Neglecting
the charge fluctuation first, we find that the mutual statistical interaction
is exactly marginal. In the underdoped regime, the quasi-particles are
described by 2+1 dimensional QED; in the superconducting regime, they are
essentially free. However, putting back the charge fluctuation changes the
physical picture dramatically: both the dynamic Doppler shift term and the
mutual statistical interaction become {\em irrelevant} short-ranged
interactions on both sides of the quantum critical point. There are no
spin-charge separation and {\em no} dynamic gapless gauge field in the
Cooper-pair picture. The formalism developed at $ T=0 $ is applied to study
thermally generated vortices in the vortex plasma regime near the finite
temperature KT transition.

17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th