Dynamics with Infinitely Many Derivatives: Variable Coefficient Equations

H. T. Davis, “The Theory of Linear Operators,” The Principia Press, Bloomington, Indiana (1936)

1936

Earlier work this paper cites.

A. Pais and G. E. Uhlenbeck, “On Field theories with nonlocalized action,” Phys. Rev. 79

1950

Earlier work this paper cites.

G. N. Watson, “A Treatise on the Theory of Bessel Functions,” Cambridge University Press (1952)

1952

Earlier work this paper cites.

E. Witten, “Noncommutative Geometry And String Field Theory,” Nucl. Phys. B 268

1986

Earlier work this paper cites.

P. G. O. Freund and M. Olson, “Nonarchimedean strings,” Phys. Lett. B 199

1988

Earlier work this paper cites.

D. A. Eliezer and R. P. Woodard, “The Problem of Nonlocality in String Theory,” Nucl. Phys. B 325

1989

Earlier work this paper cites.

D. L. Bennett, H. B. Nielsen and R. P. Woodard, “The initial value problem for maximally non-local actions,” Phys. Rev. D 57

1998

Earlier work this paper cites.

D. A. Eliezer and R. P. Woodard, “Instability of higher difference initial value theories,” Phys. Rev. D 40

2000

Earlier work this paper cites.

J. Gomis, K. Kamimura and J. Llosa, “Hamiltonian formalism for space-time non-commutative theories,” Phys. Rev. D 63

2001

Earlier work this paper cites.

N. Moeller and B. Zwiebach, “Dynamics with infinitely many time derivatives and rolling tachyons,” JHEP 0210

2002

Earlier work this paper cites.

J. Gomis, K. Kamimura and T. Ramirez, “Physical reduced phase space of non-local theories,” Nucl. Phys. B 696

2004

Earlier work this paper cites.

T. Biswas, M. Grisaru and W. Siegel, “Linear Regge trajectories from worldsheet lattice parton field theory,” Nucl. Phys. B 708

2005

Cited alongside, same era.

I. Y. Aref’eva and L. V. Joukovskaya, “Time lumps in nonlocal stringy models and cosmological applications,” JHEP 0510

2005

Cited alongside, same era.

I. Y. Aref’eva, A. S. Koshelev and S. Y. Vernov, “Stringy dark energy model with cold dark matter,” Phys. Lett. B 628

2005

Cited alongside, same era.

I. Y. Aref’eva, A. S. Koshelev and S. Y. Vernov, “Crossing of the w = -1 barrier by D3-brane dark energy model,” Phys. Rev. D 72

2005

Cited alongside, same era.

L. Boubekeur and D. H. Lyth, “Hilltop inflation,” JCAP 0507

2005

Cited alongside, same era.

N. Barnaby and J. M. Cline, “Large Nongaussianity from Nonlocal Inflation,” JCAP 0707

Original

2007

Later among the works it cites.

J. E. Lidsey, “Stretching the inflaton potential with kinetic energy,” Phys. Rev. D 76

2007

Later among the works it cites.

I. Y. Aref’eva and I. V. Volovich, “Quantization of the Riemann zeta-function and cosmology,” Int. J. Geom. Meth. Mod. Phys. 4

Original

2007

Later among the works it cites.

I. Y. Aref’eva and I. V. Volovich, “On the null energy condition and cosmology,” Theor. Math. Phys. 155

2008

Closest in time.

S. Deser and R. P. Woodard, “Nonlocal Cosmology,” Phys. Rev. Lett. 99

Original

2008

Closest in time.