Abstract
Scattering amplitudes are fundamental and remarkably rich observables in quantum field theory. The single most important observation in this subject is that scattering amplitudes are often much simpler than one expects from a typical Feynman diagram expansion. Understanding the implications of this simple fact has lead to the development of new and efficient computational techniques and to the discovery of new mathematical structures in theoretical physics.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
S.J. Parke, T. Taylor, An amplitude for \(n\) gluon scattering. Phys. Rev. Lett. 56, 2459 (1986)
R. Britto, F. Cachazo, B. Feng, New recursion relations for tree amplitudes of gluons. Nucl. Phys. B715, 499–522 (2005). [hep-th/0412308]
R. Britto, F. Cachazo, B. Feng, E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory. Phys. Rev. Lett. 94, 181602 (2005). [hep-th/0501052]
F. Cachazo, P. Svrcek, E. Witten, MHV vertices and tree amplitudes in gauge theory. J. High Energy Phys. 0409, 006 (2004). [hep-th/0403047]
K. Risager, A direct proof of the CSW rules. J. High Energy Phys. 0512, 003 (2005). [hep-th/0508206]
Z. Bern, L.J. Dixon, D.C. Dunbar, D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits. Nucl. Phys. B425, 217–260 (1994). [hep-ph/9403226]
Z. Bern, L.J. Dixon, D.C. Dunbar, D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes. Nucl. Phys. B435, 59–101 (1995). [hep-ph/9409265]
C. Berger, Z. Bern, L. Dixon, F. Febres Cordero, D. Forde et al., An automated implementation of on-shell methods for one-loop amplitudes. Phys. Rev. D78, 036003 (2008). [arXiv:0803.4180]
J.M. Maldacena, The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231–252 (1998). [hep-th/9711200]
E. Witten, Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2, 253–291 (1998). [hep-th/9802150]
S. Gubser, I.R. Klebanov, A.M. Polyakov, Gauge theory correlators from noncritical string theory. Phys. Lett. B428, 105–114 (1998). [hep-th/9802109]
L.F. Alday, J.M. Maldacena, Gluon scattering amplitudes at strong coupling. J. High Energy Phys. 0706, 064 (2007). [arXiv:0705.0303]
G. Korchemsky, J. Drummond, E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops. Nucl. Phys. B795, 385–408 (2008). [arXiv:0707.0243]
J. Drummond, J. Henn, G. Korchemsky, E. Sokatchev, Conformal ward identities for Wilson loops and a test of the duality with gluon amplitudes. Nucl. Phys. B826, 337–364 (2010). [arXiv:0712.1223]
J. Drummond, J. Henn, G. Korchemsky, E. Sokatchev, On planar gluon amplitudes/Wilson loops duality. Nucl. Phys. B795, 52–68 (2008). [arXiv:0709.2368]
A. Brandhuber, P. Heslop, G. Travaglini, MHV amplitudes in N=4 super Yang-Mills and Wilson loops. Nucl. Phys. B794, 231–243 (2008). [arXiv:0707.1153]
J. Drummond, J. Henn, G. Korchemsky, E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory. Nucl. Phys. B828, 317–374 (2010). [arXiv:0807.1095]
N. Berkovits, J. Maldacena, Fermionic T-Duality, dual superconformal symmetry, and the amplitude/Wilson loop connection. J. High Energy Phys. 0809, 062 (2008). [arXiv:0807.3196]
N. Beisert, T-Duality, dual conformal symmetry and integrability for strings on adS(5) x S**5. Fortsch. Phys. 57, 329–337 (2009). [arXiv:0903.0609]
R. Penrose, Twistor algebra. J. Math. Phys. 8, 345 (1967)
R. Penrose, M.A. MacCallum, Twistor theory: An approach to the quantization of fields and space-time. Phys. Rept. 6, 241–316 (1972)
A.P. Hodges, S. Huggett, Twistor diagrams. Surveys High Energ. Phys. 1, 333–353 (1980)
A.P. Hodges, Twistor diagrams and massless Moller scattering. Proc. Roy. Soc. Lond. A385, 207–228 (1983)
A.P. Hodges, Twistor diagrams and massless compton scattering. Proc. Roy. Soc. Lond. A386, 185–210 (1983)
E. Witten, Perturbative gauge theory as a string theory in twistor space. Commun. Math. Phys. 252, 189–258 (2004). [hep-th/0312171]
N. Berkovits, An alternative string theory in twistor space for N=4 superYang-Mills. Phys. Rev. Lett. 93, 011601 (2004). [hep-th/0402045]
N. Berkovits, E. Witten, Conformal supergravity in twistor-string theory. J. High Energy Phys. 0408, 009 (2004). [hep-th/0406051]
R. Roiban, M. Spradlin, A. Volovich, On the tree level S matrix of Yang-Mills theory. Phys. Rev. D70, 026009 (2004). [hep-th/0403190]
L. Mason, Twistor actions for non-self-dual fields: A derivation of twistor-string theory. J. High Energy Phys. 0510, 009 (2005). [hep-th/0507269]
R. Boels, L. Mason, D. Skinner, Supersymmetric Gauge theories in twistor space. J. High Energy Phys. 0702, 014 (2007). [hep-th/0604040]
A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, arXiv:0905.1473
L. Mason, D. Skinner, The complete planar S-matrix of N=4 SYM as a Wilson loop in twistor space. J. High Energy Phys. 1012, 018 (2010). [arXiv:1009.2225]
S. Caron-Huot, Notes on the scattering amplitude/Wilson loop duality. J. High Energy Phys. 1107, 058 (2011). [arXiv:1010.1167]
M. Bullimore, L. Mason, D. Skinner, MHV diagrams in momentum twistor space. J. High Energy Phys. 1012, 032 (2010). [arXiv:1009.1854]
M. Bullimore, MHV diagrams from an all-line recursion relation, arXiv:1010.5921
M. Bullimore, D. Skinner, Holomorphic linking, loop equations and scattering amplitudes in twistor space, arXiv:1101.1329
M. Bullimore, D. Skinner, Descent equations for superamplitudes, arXiv:1112.1056
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bullimore, M.R. (2014). Introduction. In: Scattering Amplitudes and Wilson Loops in Twistor Space. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-00909-4_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-00909-4_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-00908-7
Online ISBN: 978-3-319-00909-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)