nLab Zvi Bern

• webpage

Selected writings

On the worldline formalism for perturbative quantum field theory:

• Zvi Bern, D. Kosower, Efficient calculation of one-loop QCD amplitudes Phys. Rev. D 66 (1991),(journal)

• Zvi Bern, D. Kosower, The computation of loop amplitudes in gauge theories, Nucl. Phys. B379 (1992) (journal)

On on-shell recursion-methods in QCD:

• Zvi Bern, Lance Dixon, David Kosower, On-Shell Methods in Perturbative QCD (arXiv:0704.2798)

On perturbative quantum gravity

• Do I have to draw you a diagram? A tale of quantum gravity, KITP Public Lecture 2016 (pdf)

• Zvi Bern, Perturbative quantum gravity and its relation to gauge theory, Living reviews in relativity, www.livingreviews.org/Articles/Volume5/2002-5bern

On the KLT relations:

• Zvi Bern, Perturbative Quantum Gravity and its Relation to Gauge Theory, LivingRev.Rel.5:5,2002 (arXiv:gr-qc/0206071)

• N. E. J. Bjerrum-Bohr, K. Risager, String theory and the KLT-relations between gravity and gauge theory including external matter (arXiv:hep-th/0407085)

• Zvi Bern, The S-matrix reloaded: Twistors, Unitarity, Gauge theories and Gravity, 2005 (pdf)

in D=4 N=8 supergravity:

• Zvi Bern, John Joseph Carrasco, Lance Dixon, Henrik Johansson, Radu Roiban, Amplitudes and Ultraviolet Behavior of $N=8$ Supergravity, Fortschr. Phys. 59 (2011) 7-8 [arXiv:1103.1848, doi:10.1002/prop.201100037]

On the “double copy” KLT relations-approach to scattering amplitudes in perturbative quantum gravity and supergravity:

• Zvi Bern, John Joseph Carrasco, Henrik Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Phys. Rev. Lett. 105 061602 (2010) [arXiv:1004.0476]

• Zvi Bern, D.C. Dunbar, T. Shimada, String-Based Methods in Perturbative Gravity, Phys. Lett. B 312 (1993) [arXiv:hep-th/9307001]

• Zvi Bern, John Joseph Carrasco, Marco Chiodaroli, Henrik Johansson, Radu Roiban, Supergravity amplitudes, the double copy and ultraviolet behavior, in Handbook of Quantum Gravity, Springer (2023) [arXiv:2304.07392]

On using KLT relation/double copy for computing gravitational wave-signatures of relativistic binary mergers for use with LIGO:

• Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, Mao Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order, Phys. Rev. Lett. 122, 201603 (2019) (arXiv:1901.04424)

On evidence for high loop order finiteness of D=4 N=8 supergravity as in perturbative quantum gravity:

• Zvi Bern, Lance Dixon, Radu Roiban, Is $N = 8$ Supergravity Ultraviolet Finite?, Phys.Lett.B644:265-271,2007 (arXiv:hep-th/0611086)

• Zvi Bern, J. J. Carrasco, Lance Dixon, H. Johansson, David Kosower, Radu Roiban, Three-Loop Superfiniteness of N=8 Supergravity, Phys.Rev.Lett.98:161303,2007 (arXiv:hep-th/0702112)

• Zvi Bern, J. J. Carrasco, Lance Dixon, H. Johansson, R. Roiban, The Ultraviolet Behavior of $N=8$ Supergravity at Four Loops, Phys. Rev. Lett.103:081301, 2009 (arXiv:0905.2326)

and via KLT relations in

• Zvi Bern, John Joseph Carrasco, Lance Dixon, Henrik Johansson, Radu Roiban, Amplitudes and Ultraviolet Behavior of $N=8$ Supergravity (arXiv:1103.1848)

On scattering amplitudes in D=5 supergravity:

• Zvi Bern, John Joseph Carrasco, Lance Dixon, Michael Douglas, Matt von Hippel, Henrik Johansson, $D = 5$ maximally supersymmetric Yang-Mills theory diverges at six loops (arXiv:1210.7709)

Related $n$Lab entries

• worldline formalism

• 4d supergravity

• KLT relations, double copy

• gravitational wave

• string theory results applied elsewhere

category: people