Generalized asymptotics for gauge fields

Journal Article · 07 October 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP10(2019)066 · OSTI ID:1600676

Giddings, Steven B. ^[1]

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1. Univ. of California, Santa Barbara, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)

An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry has typically been assumed. However, the existence of electric and gravitational line operators, arising from gauge-invariant dressed observables, for example associated to axial or Fefferman-Graham like gauges, indicates the existence of non-antipodally symmetric initial data. This note studies aspects of the solutions corresponding to such non-symmetric initial data. The explicit evolution can be found, via a Green function, and bounds can be given on the asymptotic behavior of such solutions, evading arguments for singular behavior. Likewise, objections to such solutions based on infinite symplectic form are also avoided, although these solutions may be superselected. Soft charge conservation laws, and their modification, are briefly examined for such solutions. This discussion strengthens (though is not necessary for) arguments that soft charges characterize gauge field degrees of freedom, but not necessarily the degrees of freedom associated to the matter sourcing the field.

• Research Organization: Univ. of California, Santa Barbara, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0011702
• OSTI ID: 1600676
• Alternate ID(s): OSTI ID: 1777258
• Journal Information: Journal of High Energy Physics (Online), Vol. 2019, Issue 10; ISSN 1029-8479
• Publisher: Springer BerlinCopyright Statement
• Country of Publication: United States
• Language: English