Instanton solution for Schwinger production of ’t Hooft-Polyakov monopoles

Monopole-instanton in topologically massive gauge theories in 2+1 dimensions with a Chern–Simons mass term have been studied by Pisarski some years ago. He investigated the SU(2) Yang–Mills–Higgs model with an additional Chern–Simons mass term in the action. Pisarski argued that there is a monopole-instanton solution that is regular everywhere, but found that it does not possess finite action. There were no exact or numerical solutions being presented by Pisarski. Hence it is our purpose to further investigate this solution in more detail. We obtained numerical regular solutions that smoothly interpolates between the behavior at small and large distances for different values of Chern–Simons term strength and for several fixed values of Higgs field strength. The monopole-instanton's action is real but infinite. The action vanishes for large Chern–Simons term only when the Higgs field expectation value vanishes.

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Manifold of the parameters of the 3-instanton solution

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(84)90068-x ◽

1984 ◽

Vol 11 (3) ◽

pp. 411

Keyword(s):

Instanton Solution

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The computation of electron transfer rates: The nonadiabatic instanton solution

The Journal of Chemical Physics ◽

10.1063/1.469762 ◽

1995 ◽

Vol 103 (4) ◽

pp. 1391-1399 ◽

Cited By ~ 38

Author(s):

Jianshu Cao ◽

Camilla Minichino ◽

Gregory A. Voth

Keyword(s):

Electron Transfer ◽

Instanton Solution ◽

Transfer Rates

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A THREE-INSTANTON SOLUTION

Mathematics of the USSR-Izvestiya ◽

10.1070/im1985v024n02abeh001233 ◽

1985 ◽

Vol 24 (2) ◽

pp. 307-320 ◽

Cited By ~ 6

Author(s):

V E Korepin ◽

S L Shatashvili

Keyword(s):

Instanton Solution

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Hartle-Hawking wave function and large-scale power suppression of CMB

EPJ Web of Conferences ◽

10.1051/epjconf/201816808002 ◽

2018 ◽

Vol 168 ◽

pp. 08002

Author(s):

Dong-han Yeom

Keyword(s):

Wave Function ◽

Power Spectrum ◽

Quantum Cosmology ◽

Large Scale ◽

Integral Approach ◽

Scale Invariant ◽

Instanton Solution ◽

Euclidean Wormholes ◽

Potential Parameters ◽

Suitable Potential

In this presentation, we first describe the Hartle-Hawking wave function in the Euclidean path integral approach. After we introduce perturbations to the background instanton solution, following the formalism developed by Halliwell-Hawking and Laflamme, one can obtain the scale-invariant power spectrum for small-scales. We further emphasize that the Hartle-Hawking wave function can explain the large-scale power suppression by choosing suitable potential parameters, where this will be a possible window to confirm or falsify models of quantum cosmology. Finally, we further comment on possible future applications, e.g., Euclidean wormholes, which can result in distinct signatures to the power spectrum.

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THE RICCION, THE INSTANTON AND PRIMORDIAL INFLATION

International Journal of Modern Physics A ◽

10.1142/s0217751x99000427 ◽

1999 ◽

Vol 14 (06) ◽

pp. 875-884 ◽

Cited By ~ 8

Author(s):

S. K. SRIVASTAVA

Keyword(s):

Phase Transition ◽

Symmetry Breaking ◽

Interaction Potential ◽

Mass Scale ◽

Instanton Solution ◽

Gravitational Action ◽

Higher Derivative ◽

Primordial Inflation

It is shown that R2 and R3 terms dominate over the Einstein–Hilbert term in the gravitational action till the energy mass scale M ≥ 8.4 × 108 GeV. In the presence of these higher derivative terms, the action for Riccions is obtained with quartic self-interaction potential. It is interesting to see that the instanton solution for Riccions gives rise to primordial inflation without any phase transition or symmetry breaking.

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