Perturbation series at large order and vacuum instability

1978 ◽  
pp. 126-154
Author(s):  
J. Zinn - Justin
Keyword(s):  
Perturbation Series ◽  
Large Order ◽  
Vacuum Instability

Perturbation theory at large order. II. Role of the vacuum instability

1977 ◽  
Vol 15 (6) ◽  
pp. 1558-1564 ◽  
Author(s):  
E. Brézin ◽  
J.-C. Le Guillou ◽  
J. Zinn-Justin
Keyword(s):  
Perturbation Theory ◽  
Large Order ◽  
Vacuum Instability

Large-Order Behavior of the Perturbation Series for Superconductors nearHc2

1990 ◽  
Vol 65 (15) ◽  
pp. 1949-1952 ◽  
Author(s):  
E. Brézin ◽  
A. Fujita ◽  
S. Hikami
Keyword(s):  
Perturbation Series ◽  
Large Order

scholarly journals BOREL-SUMMABLE PERTURBATION SERIES FOR THEORIES WITH DEGENERATE MINIMA

1992 ◽  
Vol 07 (15) ◽  
pp. 1337-1344 ◽  
Author(s):  
HIDEAKI AOYAMA
Keyword(s):  
Perturbation Theory ◽  
Quantum Mechanics ◽  
Path Integral ◽  
Perturbation Series ◽  
Effective Theory ◽  
Dominant Contribution ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Large Order

We shed new light on the large-order behavior of the perturbation theory for the quantum mechanics with degenerate minima. The dominant contribution at large-order of perturbation is identified as a bounce-like solution of an effective theory in Euclidean path-integral formalism. Based on this observation, we define an improved perturbation theory, which utilizes the symmetry of the theory. It is shown to yield a Borel-summable series.

Large-Order Behavior of the Perturbation Series for Superconductors nearHc2

1990 ◽  
Vol 65 (23) ◽  
pp. 2921-2921 ◽  
Author(s):  
E. Brézin ◽  
A. Fujita ◽  
S. Hikami
Keyword(s):  
Perturbation Series ◽  
Large Order

scholarly journals ON DISAGREEMENT ABOUT NONPERTURBATIVE CORRECTIONS IN TRIPLE-WELL POTENTIAL

2005 ◽  
Vol 20 (12) ◽  
pp. 881-896 ◽  
Author(s):  
MASATOSHI SATO ◽  
TOSHIAKI TANAKA
Keyword(s):  
Perturbation Series ◽  
Wkb Approximation ◽  
Asymptotic Formulas ◽  
Numerical Comparison ◽  
Method Calculation ◽  
Dilute Gas ◽  
Large Order ◽  
Points Of View ◽  
Perturbative Corrections

We examine in detail nonperturbative corrections for low lying energies of a symmetric triple-well potential with non-equivalent vacua, for which there have been disagreement about asymptotic formulas and controversy over the validity of the dilute gas approximation. We carry out investigations from various points of view, including not only a numerical comparison of the nonperturbative corrections with the exact values but also the prediction on the large order behavior of the perturbation series, consistency with the perturbative corrections, and comparison with the WKB approximation. We show that all the results support our formulas previously obtained from the valley method calculation beyond the dilute gas approximation.

Comparison between large-order estimates and perturbation series in a scalar field theory with Gaussian propagator

1978 ◽  
Vol 17 (8) ◽  
pp. 2144-2159 ◽  
Author(s):  
C. Bervillier ◽  
J. M. Drouffe ◽  
J. Zinn-Justin ◽  
C. Godrèche
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Perturbation Series ◽  
Scalar Field Theory ◽  
Large Order

The Russian ruble crisis of December 2014

2016 ◽  
pp. 66-86
Author(s):  
A. Obizhaeva
Keyword(s):  
Microstructure Analysis ◽  
Future Market ◽  
Effective Response ◽  
Large Order ◽  
Short Period ◽  
The Face ◽  
Front Running ◽  
Futures And Options

The paper presents a microstructure analysis of the crash of the Russian ruble in mid-December 2014. The author shows that the market break probably happened due to the execution of a large order that converted Russian rubles into U.S. dollars over a short period of a few days. Expirations of futures and options as well as possible front-running could have exacerbated the collapse of the Russian currency. The paper discusses measures taken by the Moscow Exchange and Bank of Russia during the episode and makes several recommendations to prevent a repetition of the similar events and provide an effective response in the face of future market breaks.

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