On-Shell Recursion Relations for Effective Field Theories.

نویسندگان

  • Clifford Cheung
  • Karol Kampf
  • Jiri Novotny
  • Chia-Hsien Shen
  • Jaroslav Trnka
چکیده

We derive the first ever on-shell recursion relations applicable to effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to construct all tree-level scattering amplitudes in the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On-Shell Recursion Relations for Generic Theories

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This ...

متن کامل

Simple recursion relations for general field theories

On-shell methods offer an alternative definition of quantum field theory at treelevel, replacing Feynman diagrams with recursion relations and interaction vertices with a handful of seed scattering amplitudes. In this paper we determine the simplest recursion relations needed to construct a general four-dimensional quantum field theory of massless particles. For this purpose we define a coverin...

متن کامل

A Periodic Table of Effective Field Theories

We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of derivatives per interaction, 2) the soft properties of amplitudes, 3) the leading valency of the interactions, and 4) the spacetime dimension. Carving out the allowe...

متن کامل

Polynomial Fermionic Forms for the Branching Functions of the Rational Coset Conformal Field Theories ŝu(2)M × ŝu(2)N/ŝu(2)M+N

General fermionic expressions for the branching functions of the rational coset conformal field theories ŝu(2)M × ŝu(2)N/ŝu(2)M+N are given. The equality of the bosonic and fermionic representations for the branching functions is proven by introducing polynomial truncations of these branching functions which are the configuration sums of the RSOS models in regime III. The path space interpretat...

متن کامل

Recursion Relations for Tree Amplitudes in Super Gauge Theories

Using newly proposed recursion relations in [25, 26], compact formulas are obtained for tree-level amplitudes of g− 1 g − 2 g − 3 g + 4 g + 5 · · · g + n . We then make an extension of these recursion relations to include fermions of multi-flavors, from which MHV and MHV amplitudes are reproduced. We also calculate non-MHV amplitudes of processes with two fermions and four gluons. Results thus ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Physical review letters

دوره 116 4  شماره 

صفحات  -

تاریخ انتشار 2016