Loops in twistor space
Oct, 2004
21 pages
Published in:
- Phys.Rev.D 71 (2005) 106010
e-Print:
- hep-th/0410054 [hep-th]
Report number:
- UCLA-04-TEP-42,
- SPHT-T04-125,
- PUPT-2137,
- NSF-KITP-04-112
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Abstract:
We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams. We also evaluate explicitly the `holomorphic anomaly' pointed out by Cachazo, Svrcek, and Witten, and use the result to define modified differential operators which can be used to probe the twistor-space structure of one-loop amplitudes.- 11.25.-w
- gauge field theory: Yang-Mills
- supersymmetry
- Seiberg-Witten model
- scattering amplitude: higher-order
- analytic properties
- infrared problem
- operator: differential
- twistor
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