Built on

Cambridge Univ. Press, Cambridge, 1966
R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The analytic S-matrix · 1966
Earlier work this paper cites.
K. Symanzik, On Calculations in conformal invariant field theories , Lett. Nuovo Cim. 3
1972
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory , Phys. Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
E. D’Hoker and D. Z. Freedman, Supersymmetric gauge theories and the AdS / CFT correspondence , in Strings, Branes and Extra Dimensions: TASI 2001: Proceedings , pp. 3–158, 2002, hep-th/0201253
2002
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons , Nucl. Phys. B715
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
T. Hahn, CUBA: A Library for multidimensional numerical integration , Comput. Phys. Commun. 168
2005
Earlier work this paper cites.
S. Laporta and E. Remiddi, Analytic treatment of the two loop equal mass sunrise graph , Nucl. Phys. B704
2005
Earlier work this paper cites.
M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals , Comput. Phys. Commun. 175
2006
Earlier work this paper cites.

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2018

Simplicity in AdS Perturbative Dynamics

Yuan, Ellis Ye

Understand

We investigate analytic properties of loop-level perturbative dynamics in pure AdS, with the scalar effective theories with non-derivative couplings as a prototype.

Explicit computations reveal certain (perhaps unexpected) simplicity regarding the pole structure of the results, in both the Mellin amplitude and a closely related object that we call Mellin pre-amplitude.
Correspondingly we propose a pair of conjectures for arbitrary diagrams at all loops, based on non-trivial evidence up to two loops (and higher loops in a special class of diagrams).
We also inspect the structure of residues at poles in the physical channels for several one-loop examples up to a 4-point box, as well as a two-loop double-triangle diagram.

Built on

Cambridge Univ. Press, Cambridge, 1966
R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The analytic S-matrix · 1966
Earlier work this paper cites.
K. Symanzik, On Calculations in conformal invariant field theories , Lett. Nuovo Cim. 3
1972
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory , Phys. Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
E. D’Hoker and D. Z. Freedman, Supersymmetric gauge theories and the AdS / CFT correspondence , in Strings, Branes and Extra Dimensions: TASI 2001: Proceedings , pp. 3–158, 2002, hep-th/0201253
2002
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons , Nucl. Phys. B715
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
T. Hahn, CUBA: A Library for multidimensional numerical integration , Comput. Phys. Commun. 168
2005
Earlier work this paper cites.
S. Laporta and E. Remiddi, Analytic treatment of the two loop equal mass sunrise graph , Nucl. Phys. B704
2005
Earlier work this paper cites.
M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals , Comput. Phys. Commun. 175
2006
Earlier work this paper cites.