Logarithmic terms in the soft expansion in four dimensions View Full Text


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Article Info

DATE

2018-10-09

AUTHORS

Alok Laddha, Ashoke Sen

ABSTRACT

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the electromagnetic and gravitational fields during classical scattering. In four dimensions the S-matrix becomes infrared divergent making the usual definition of the soft factor ambiguous beyond the leading order. However the radiative parts of the electromagnetic and gravitational fields provide an unambiguous definition of soft factor in the classical limit up to the usual gauge ambiguity. We show that the soft factor defined this way develops terms involving logarithm of the energy of the soft particle at the subleading order in the soft expansion. More... »

PAGES

56

References to SciGraph publications

  • 2015-07-20. Double soft theorems in gauge and string theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-08-11. Subleading soft factor for string disk amplitudes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-05-11. BMS supertranslations and not so soft gravitons in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-01-21. Next to subleading soft-graviton theorem in arbitrary dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-04-28. Note on identities inspired by new soft theorems in JOURNAL OF HIGH ENERGY PHYSICS
  • 1969-03. On the Low-Burnett-Kroll theorem for soft-photon emission in IL NUOVO CIMENTO A (1965-1970)
  • 2011-05-11. Factorization properties of soft graviton amplitudes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09-01. Double-soft behavior of the dilaton of spontaneously broken conformal invariance in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-06-24. Soft theorems from conformal field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-12-22. Double-soft behavior for scalars and gluons from string theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-12-19. Large gauge symmetries and asymptotic states in QED in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-06-29. Extensions of theories from soft limits in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-07-24. Double-soft limits of gluons and gravitons in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-01-15. Gravitational memory, BMS supertranslations and soft theorems in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-07-30. On BMS invariance of gravitational scattering in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-06-26. Gravitational memory in higher dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-01-10. Sub-subleading soft gravitons and large diffeomorphisms in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-10-10. Sub-subleading soft graviton theorem in generic theories of quantum gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-03-25. A note on soft factors for closed string scattering in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-05-22. Asymptotic symmetries and subleading soft photon theorem in effective field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-08-16. Loop-corrected Virasoro symmetry of 4D quantum gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-03-13. The double copy structure of soft gravitons in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-06-09. Subsubleading soft theorems of gravitons and dilatons in the bosonic string in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-01-12. Next-to-soft corrections to high energy scattering in QCD and gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-02-06. A periodic table of effective field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-12-22. Soft theorems from anomalous symmetries in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-11-04. Subleading soft photons and large gauge transformations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-08-12. Soft sub-leading divergences in Yang-Mills amplitudes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-09-28. Double soft theorem for perturbative gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 1970-06. Asymptotic conditions and infrared divergences in quantum electrodynamics in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2017-05-22. On higher-spin supertranslations and superrotations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-05-29. A d-dimensional stress tensor for Minkd+2 gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-07-22. Asymptotic symmetries of QED and Weinberg’s soft photon theorem in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-12-16. Loop corrections to soft theorems in gauge theories and gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-09-18. Gravity waves from soft theorem in general dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-03-27. Equations of motion as constraints: superselection rules, Ward identities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-09-24. On the soft limit of open string disk amplitudes with massive states in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-12-14. New gravitational memories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-07-12. Scattering equations, twistor-string formulas and double-soft limits in four dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-06-21. Soft theorems in superstring theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-04-15. New symmetries for the gravitational S-matrix in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-10-27. Sub-sub-leading soft-graviton theorem in arbitrary dimension in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-05-27. Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-05-29. BMS supertranslations and Weinberg’s soft graviton theorem in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-11-20. Subleading soft graviton theorem for loop amplitudes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-12-28. Subleading soft theorem for multiple soft gravitons in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-12-15. Asymptotic symmetries of gravity and soft theorems for massive particles in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-11-18. Note on soft graviton theorem by KLT relation in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10-23. Construction of an asymptotic S matrix for perturbative quantum gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-12-06. Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton in JOURNAL OF HIGH ENERGY PHYSICS
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    http://dx.doi.org/10.1007/jhep10(2018)056

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    https://app.dimensions.ai/details/publication/pub.1107514191


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