Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Fluctuations and New Instantons I: Linear Unbounded Potential   We consider the decay of a false vacuum in circumstances where the methods
suggested by Coleman run into difficulties. We find that in these cases quantum
fluctuations play a crucial role. Namely, they naturally induce both an
ultraviolet and infrared cutoff scales, determined by the parameters of the
classical solution, beyond which this solution cannot be trusted anymore. This
leads to the appearance of a broad class of new $O(4)$ invariant instantons,
which would have been singular in the absence of an ultraviolet cutoff. We
apply our results to a case where the potential is unbounded from below in a
linear way and in particular show how the problem of small instantons is
resolved by taking into account the inevitable quantum fluctuations.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an