Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Knots and New Quantum Field Theory   We propose a new gauge theory of quantum electrodynamics (QED) and quantum
chromodynamics (QCD) from which we derive knot invariants such as the Jones
polynomial. Our approach is inspired by the work of Witten who derived knot
invariants from quantum field theory based on the Chern-Simon Lagrangian. From
our approach we can derive new knot invariants which extend the Jones
polynomial and give a complete classification of knots. We model elementary
particles by quantum knots. From the construction of quantum knots we construct
quantum photon propagator and quantum gloun propagator for the nuclear force
beween elementary particles. Then from the propagators a renormalization group
equation is derived for the critical phenomena of QED and QCD of electrons and
quarks including superconductivity and color superconductivity.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con