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.

scholarly journals SCATTERING OF NONCOMMUTATIVE STRINGS

2006 ◽  
Vol 21 (11) ◽  
pp. 2391-2401 ◽  
Author(s):  
SUPRIYA KAR ◽  
SUMIT MAJUMDAR
Keyword(s):  
Path Integral ◽  
Point Particle ◽  
Effective Theory ◽  
Natural Setting ◽  
Particle Scattering ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
S Matrix ◽  
Planck Energy ◽  
Shed Light

We obtain S-matrix, for the scattering of two string states, on a noncommutative D3-brane in a path integral formalism. The framework provides a natural setting at Planck energy. It is argued that the effective theory is governed by two different length scales, respectively along the longitudinal and transverse directions. This in turn allows one to view an emerging semiclassical D-string in the theory. Interestingly, the S-matrix generalizes the case of a point-particle Planckian scattering studied in literatures. Our analysis may shed light on the issue of "imaginary string," originally raised by 't Hooft in a point-particle scattering at Planck energy.

Application of path integral formalism in spectral line broadening: Lyman- in hydrogenic plasma

2005 ◽  
Vol 94 (3-4) ◽  
pp. 335-346 ◽  
Author(s):  
H. Bouguettaia ◽  
Is. Chihi ◽  
K. Chenini ◽  
M.T. Meftah ◽  
F. Khelfaoui ◽  
...  
Keyword(s):  
Spectral Line ◽  
Path Integral ◽  
Line Broadening ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Spectral Line Broadening

Multi-instantons and exact results IV: Path integral formalism

2011 ◽  
Vol 326 (8) ◽  
pp. 2186-2242 ◽  
Author(s):  
Ulrich D. Jentschura ◽  
Jean Zinn-Justin
Keyword(s):  
Path Integral ◽  
Exact Results ◽  
Integral Formalism ◽  
Path Integral Formalism

scholarly journals The solar-interior equation of state with the path-integral formalism

2009 ◽  
Vol 505 (2) ◽  
pp. 735-742 ◽  
Author(s):  
A. Perez ◽  
K. Mussack ◽  
W. Däppen ◽  
D. Mao
Keyword(s):  
Equation Of State ◽  
Path Integral ◽  
Solar Interior ◽  
Integral Formalism ◽  
Path Integral Formalism

Effects of barrier penetration on energy spectrum and wave functions in the path integral formalism

1978 ◽  
Vol 136 (2) ◽  
pp. 259-276 ◽  
Author(s):  
Iring Bender ◽  
Dieter Gromes ◽  
Heinz J. Rothe ◽  
Klaus D. Rothe
Keyword(s):  
Energy Spectrum ◽  
Path Integral ◽  
Wave Functions ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Barrier Penetration
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