Exact Combinatorics of Bern - Kosower - type Amplitudes for Two - Loop Φ 3 Theory
نویسنده
چکیده
Counting the contribution rate of a world-line formula to Feynman diagrams in φ theory, we explain the idea how to determine precise combinatorics of Bern-Kosower-like amplitudes derived from a bosonic string theory for N -point two-loop Feynman amplitudes. In this connection we also present a method to derive simple and compact world-line forms for the effective action. PACS: 11.15.Bt; 11.55.-m; 11.90.+t
منابع مشابه
World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
Based on the world-line formalism with a sewing method, we derive the Yang-Mills effective action in a form useful to generate the Bern-Kosower-type master formulae for gluon scattering amplitudes at the two-loop level. It is shown that four-gluon (Φ type sewing) contributions can be encapsulated in the action with three-gluon (Φ type) vertices only, the total action thus becoming a simple expr...
متن کاملPlanar amplitudes in maximally supersymmetric Yang-Mills theory.
The collinear factorization properties of two-loop scattering amplitudes in dimensionally regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of one-loop amplitudes. We demonstrate this relation explicitly for the two-loop four-point amplitude and, based on the collinear limits, conjecture an analogous ...
متن کاملRelation between worldline Green functions for scalar two-loop diagrams
We discuss a relation between two-loop bosonic worldline Green functions which are obtained by Schmidt and Schubert in two different parametrizations of a twoloop worldline. These Green functions are transformed into each other by some transformation rules based on reparametrizations of the proper time and worldline modular parameters. 1 Fellow of the Danish Research Academy, [email protected]...
متن کاملTHE FIVE GLUON AMPLITUDE AND ONE - LOOP INTEGRALS a
We review the conventional field theory description of the string motivated technique. This technique is applied to the one-loop five-gluon amplitude. To evaluate the amplitude a general method for computing dimensionally regulated one-loop in-tegrals is outlined including results for one-loop integrals required for the pentagon diagram and beyond. Finally, two five-gluon helicity amplitudes ar...
متن کاملOn-Shell Methods in Perturbative QCD
We review on-shell methods for computing multi-parton scattering amplitudes in perturbative QCD, utilizing their unitarity and factorization properties. We focus on aspects which are useful for the construction of one-loop amplitudes needed for phenomenological studies at the Large Hadron Collider.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998