6 research outputs found
Resummation of Vacuum Bubble Diagrams in Gaussian Propagator Model
An imaginary part of the false-vacuum energy density in a metastable system,
i.e., the decay width due to quantum tunneling, might be reproduced by Borel
resummation of vacuum bubble diagrams. We examine the convergence of this
prescription in the Gaussian propagator model, in which the analytical
expression of vacuum bubbles to the ninth order of loop expansion is available.Comment: 8 pages, 5 figures, REVTe
Remark on the Consistent Gauge Anomaly in Supersymmetric Theories
We present a direct field theoretical calculation of the consistent gauge
anomaly in the superfield formalism, on the basis of a definition of the
effective action through the covariant gauge current. The scheme is
conceptually and technically simple and the gauge covariance in intermediate
steps reduces calculational labors considerably. The resultant superfield
anomaly, being proportional to the anomaly d^{abc}=\tr T^a\{T^b,T^c\}, is
minimal without supplementing any counterterms. Our anomaly coincides with the
anomaly obtained by Marinkovi\'c as the solution of the Wess-Zumino consistency
condition.Comment: uses PHYZZX, 17 pages, the result of SUSY anomaly in the Wess-Zumino
gauge adde
Observing Quantum Tunneling in Perturbation Series
We apply Borel resummation method to the conventional perturbation series of
ground state energy in a metastable potential, . We observe
numerically that the discontinuity of Borel transform reproduces the imaginary
part of energy eigenvalue, i.e., total decay width due to the quantum
tunneling. The agreement with the exact numerical value is remarkable in the
whole tunneling regime 0.Comment: 12 pages, 2 figures. Phyzzx, Tables.tex, The final version to appear
in Phys. Lett.
Quantum Bubble Nucleation beyond WKB: Resummation of Vacuum Bubble Diagrams
On the basis of Borel resummation, we propose a systematical improvement of
bounce calculus of quantum bubble nucleation rate. We study a metastable
super-renormalizable field theory, dimensional O(N) symmetric
model () with an attractive interaction. The validity of our proposal is
tested in D=1 (quantum mechanics) by using the perturbation series of ground
state energy to high orders. We also present a result in D=2, based on an
explicit calculation of vacuum bubble diagrams to five loop orders.Comment: 19 pages, 5 figures, PHYZZ