Quantum aspects of the worldsheet theory in the pure spinor formalism
The quantum integrability of continuous models and the computation of scattering a...
The quark-ghost scattering kernel at one-loop dressed approximation
| Full text | |
| Author(s): |
Aisaka, Yuri
;
Berkovits, Nathan
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of High Energy Physics; v. N/A, n. 7, p. 30-pg., 2009-07-01. |
| Abstract | |
Since the b ghost in the pure spinor formalism is a composite operator depending on non-minimal variables, it is not trivial to impose the Siegel gauge condition b(0)V = 0 on BRST-invariant vertex operators. Using the antifield vertex operator V* of ghost-number +2, we show that Siegel gauge unintegrated vertex operators can be constructed as b(0)V* and Siegel gauge integrated vertex operators as integral dz b(-1)b(0)V*. These Siegel gauge vertex operators depend on the non-minimal variables, so scattering amplitudes involving these operators need to be regularized using the prescription developed previously with Nekrasov. As an example of this regularization prescription, we compute the four-point one-loop amplitude with four Siegel gauge integrated vertex operators. This is the first one-loop computation in the pure spinor formalism that does not require unintegrated vertex operators. (AU) | |
| FAPESP's process: | 04/11426-0 - Research and Instruction in String Theory |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Research Projects - Thematic Grants |