Zvi Bern in nLab


* [webpage](http://personnel.physics.ucla.edu/directory/faculty/bern)


## Selected writings

On the [[worldline formalism]] for [[perturbative quantum field theory]]:

* {#BernKosower91} [[Zvi Bern]], D. Kosower, _Efficient calculation of one-loop QCD amplitudes_ Phys. Rev. D 66 (1991),([journal](http://prl.aps.org/abstract/PRL/v66/i13/p1669_1))
 
* {#BernKosower92} [[Zvi Bern]], D. Kosower, _The computation of loop amplitudes in gauge theories_, Nucl. Phys. B379 (1992)  ([journal](http://ccdb4fs.kek.jp/cgi-bin/img_index?9108076))


On [[on-shell recursion]]-methods in [[QCD]]:

* [[Zvi Bern]], [[Lance Dixon]], [[David Kosower]], _On-Shell Methods in Perturbative QCD_ ([arXiv:0704.2798](http://arxiv.org/abs/0704.2798))


On [[perturbative quantum gravity]]

* _Do I have to draw you a diagram? A tale of quantum gravity_, KITP Public Lecture 2016 ([pdf](http://online.kitp.ucsb.edu/plecture/zbern16/pdf/Zbern16_PublicLecture_KITP.pdf))

* [[Zvi Bern]], _Perturbative quantum gravity and its relation to gauge theory_, Living reviews in relativity, [www.livingreviews.org/Articles/Volume5/2002-5bern](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](http://arxiv.org/abs/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](http://arxiv.org/abs/hep-th/0407085))

* [[Zvi Bern]], _The S-matrix reloaded: Twistors, Unitarity, Gauge theories and Gravity_, 2005 ([pdf](http://online.kitp.ucsb.edu/online/strings05/bern/))

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 &lbrack;[arXiv:1103.1848](http://arxiv.org/abs/1103.1848), [doi:10.1002/prop.201100037](https://doi.org/10.1002/prop.201100037)&rbrack;

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) &lbrack;[arXiv:1004.0476](https://arxiv.org/abs/1004.0476)&rbrack;

* [[Zvi Bern]], D.C. Dunbar, T. Shimada, _String-Based Methods in Perturbative Gravity_, Phys. Lett. B **312** (1993) &lbrack;[arXiv:hep-th/9307001](https://arxiv.org/abs/hep-th/9307001)&rbrack;

* [[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) &lbrack;[arXiv:2304.07392](https://arxiv.org/abs/2304.07392)&rbrack;


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

* {#BCRSSZ19} [[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) &lbrack;[arXiv:1901.04424](https://arxiv.org/abs/1901.04424), [doi:10.1103/PhysRevLett.122.201603](https://doi.org/10.1103/PhysRevLett.122.201603)&rbrack;

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](http://arxiv.org/abs/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](http://arxiv.org/abs/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](https://arxiv.org/abs/0905.2326))

and via [[KLT relations]] in 

* {#BCDJR11} [[Zvi Bern]], John Joseph Carrasco, [[Lance Dixon]], Henrik Johansson, [[Radu Roiban]], _Amplitudes and Ultraviolet Behavior of $N=8$ Supergravity_ ([arXiv:1103.1848](http://arxiv.org/abs/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](http://arxiv.org/abs/1210.7709))



## Related $n$Lab entries

* [[worldline formalism]]

* [[4d supergravity]]

* [[KLT relations]], [[double copy]]

* [[gravitational wave]]

* [[string theory results applied elsewhere]]

category: people