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These notes provide a comprehensive review of the semiclassical approach for calculating multiparticle production rates for initial states with few particles at very high energies.
L. D. Landau, On the theory of transfer of energy at collisions I , Phys. Zs. Sowiet. 1
1932
Earlier work this paper cites.
R. J. Glauber, The Quantum theory of optical coherence , Phys. Rev. 130
1963
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R. J. Glauber, Coherent and incoherent states of the radiation field , Phys. Rev. 131
1963
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A. M. Jaffe, High-energy Behavior In Quantum Field Theory. I. Strictly Localizable Fields , Phys. Rev. 158
1967
Earlier work this paper cites.
S. R. Coleman, The fate of false vacuum. 1. Semiclassical theory , Phys. Rev. D15
1977
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S. V. Iordanskii and L. P. Pitaevskii, Multiphoton boundary of the excitation spectrum in He II , Sov. Phys. JETP 49
1979
Earlier work this paper cites.
L. D. Faddeev and A. A. Slavnov, Gauge fields: Introduction to quantum theory , Front. Phys. 50
1980
Earlier work this paper cites.
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L. Landau and E. Lifshitz, Quantum Mechanics: Non-Relativistic Theory · 1981
Earlier work this paper cites.
R. Rajaraman, Solitons and instantons. An introduction to solitons and instantons in quantum field theory , Amsterdam, Netherlands: North-Holland. (1982) 409
1982
Earlier work this paper cites.
J. M. Cornwall, On the High-energy Behavior of Weakly Coupled Gauge Theories , Phys. Lett. B243
1990
Earlier work this paper cites.
H. Goldberg, Breakdown of perturbation theory at tree level in theories with scalars , Phys. Lett. B246
1990
Earlier work this paper cites.
W.-M. Zhang, D. H. Feng and R. Gilmore, Coherent states: Theory and some Applications , Rev. Mod. Phys. 62
1990
Earlier work this paper cites.
S. Yu. Khlebnikov, V. A. Rubakov and P. G. Tinyakov, Instanton induced cross-sections below the sphaleron , Nucl. Phys. B350
1991
Earlier work this paper cites.
M. B. Voloshin, On strong high-energy scattering in theories with weak coupling , Phys. Rev. D43
1991
Earlier work this paper cites.
L. S. Brown, Summing tree graphs at threshold , Phys. Rev. D46
1992
Earlier work this paper cites.
M. B. Voloshin, Estimate of the onset of nonperturbative particle production at high-energy in a scalar theory , Phys. Lett. B293
1992
Cited alongside, same era.
V. A. Rubakov and P. G. Tinyakov, Towards the semiclassical calculability of high-energy instanton cross-sections , Phys. Lett. B279
1992
Cited alongside, same era.
S. Yu. Khlebnikov, Semiclassical approach to multiparticle production , Phys. Lett. B282
1992
Cited alongside, same era.
C. Bachas, A Proof of exponential suppression of high-energy transitions in the anharmonic oscillator , Nucl. Phys. B377
1992
Cited alongside, same era.
E. N. Argyres, R. H. P. Kleiss and C. G. Papadopoulos, Amplitude estimates for multi - Higgs production at high-energies , Nucl. Phys. B391
1993
Cited alongside, same era.
D. Diakonov and V. Petrov, Nonperturbative isotropic multiparticle production in Yang-Mills theory , Phys. Rev. D50
1994
Later among the works it cites.
M. V. Libanov, D. T. Son and S. V. Troitsky, Exponentiation of multiparticle amplitudes in scalar theories. 2. Universality of the exponent , Phys. Rev. D52
1995
Later among the works it cites.
D. T. Son, Semiclassical approach for multiparticle production in scalar theories , Nucl. Phys. B477
1996
Later among the works it cites.
M. V. Libanov, V. A. Rubakov and S. V. Troitsky, Multiparticle processes and semiclassical analysis in bosonic field theories , Phys. Part. Nucl. 28
1997
Later among the works it cites.
N. Dorey, T. J. Hollowood, V. V. Khoze and M. P. Mattis, The Calculus of many instantons , Phys. Rept. 371
2002
Later among the works it cites.
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M. B. Voloshin, Summing one loop graphs at multiparticle threshold , Phys. Rev. D47
1993
Cited alongside, same era.
B. H. Smith, Summing one loop graphs in a theory with broken symmetry , Phys. Rev. D47
1993
Cited alongside, same era.
E. N. Argyres, R. H. P. Kleiss and C. G. Papadopoulos, Multiscalar amplitudes to all orders in perturbation theory , Phys. Lett. B308
1993
Cited alongside, same era.
A. S. Gorsky and M. B. Voloshin, Nonperturbative production of multiboson states and quantum bubbles , Phys. Rev. D48
1993
Cited alongside, same era.
P. G. Tinyakov, Instanton like transitions in high-energy collisions , Int. J. Mod. Phys. A8
1993
Cited alongside, same era.
V. A. Rubakov, D. T. Son and P. G. Tinyakov, An Example of semiclassical instanton like scattering: (1+1)-dimensional sigma model , Nucl. Phys. B404
1993
Cited alongside, same era.
E. Farhi, V. V. Khoze and R. L. Singleton, Jr, Minkowski space nonAbelian classical solutions with noninteger winding number change , Phys. Rev. D47
1993
Cited alongside, same era.
M. Shifman, Advanced topics in quantum field theory , Cambridge University press (2012) 622
2012
Later among the works it cites.
V. V. Khoze, Multiparticle Higgs and Vector Boson Amplitudes at Threshold , JHEP 07
2014
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2015
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2015
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2016
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2017
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V. V. Khoze and M. Spannowsky, Higgsploding universe , Phys. Rev. D96
2017
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2018
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2018
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