toggle visibility Search & Display Options

Select All    Deselect All
 |   | 
  Record Links
Author Gonzalez, H.,A.; Rojas, F. doi  openurl
  Title The structure of IR divergences in celestial gluon amplitudes Type
  Year 2021 Publication (up) Journal Of High Energy Physics Abbreviated Journal J. High Energy Phys.  
  Volume Issue 6 Pages 171  
  Keywords Conformal Field Theory; Scattering Amplitudes; Field Theories in Lower Dimensions  
  Abstract The all-loop resummation of SU(N) gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is universal, whereas the hard function is a process-dependent quantity.We prove that this factorization persists for the corresponding celestial amplitudes. Moreover, the soft/collinear factor becomes a scalar correlator of the product of renormalized Wilson lines defined in terms of celestial data. Their effect on the hard amplitude is a shift in the scaling dimensions by an infinite amount, proportional to the cusp anomalous dimension. This leads us to conclude that the celestial-IR-safe gluon amplitude corresponds to a expectation value of operators dressed with Wilson line primaries. These results hold for finite N.In the large N limit, we show that the soft/collinear correlator can be described in terms of vertex operators in a Coulomb gas of colored scalar primaries with nearest neighbor interactions. In the particular cases of four and five gluons in planar N = 4 SYM theory, where the hard factor is known to exponentiate, we establish that the Mellin transform converges in the UV thanks to the fact that the cusp anomalous dimension is a positive quantity. In other words, the very existence of the full celestial amplitude is owed to the positivity of the cusp anomalous dimension.  
  Corporate Author Thesis  
  Publisher Place of Publication Editor  
  Language Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1029-8479 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000671162900001 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1436  
Permanent link to this record
Select All    Deselect All
 |   | 

Save Citations:
Export Records: