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Nonlocal Dynamics in String Field Theory and cosmological applications

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Nonlocal Dynamics in String Field Theory and cosmological applications

Liudmila Joukovskaya,

CTC, DAMTP, University of Cambridge

21 January, Imperial College London

Plan of the talk

- General Motivations
- Construction of rolling solutions in the truncated SFT

a) Truncated SFT (nonlocality)

b) Space homogeneous rolling solutions

- Cosmological motivations for nonlocal theories
- SFT as a possible framework for cosmology
- Rolling cosmological solutions

Motivations

- Cosmological Motivations
- Theoretical Motivations
- String Field Theory as a possible framework for Cosmology

Witten’s Cubic Open String Field Theory

E. Witten, Nucl. Phys. B 268 (1986) 253

V.A. Kostelecky, S.Samuel,

Phys. Lett. B 207 (1988) 169

V.A. Kostelecky,S.Samuel, Phys. Lett. B 207 (1988) 169,

P.West, Phys.Lett.B548:92-96,2002

N. Moeller, A. Sen, B. Zwiebach, JHEP, 08 (2000) 039

Cubic Fermionic String Field Theory

I.Aref’eva, P.Medvedev, A.Zubarev

Phys.Lett.B240 (1990)356

C.Preitschopf, C.Thorn, S.Yost,

Nucl. Phys. B337 (1990) 363

I.Arefeva, D.Belov, A.Koshelev,

P.Medvedev, Nucl.Phys.B638 (2002)3

Level truncation

Covariant String Field Theory

Stress Tensor

N. Moeller, B. Zwiebach, JHEP, 10 (2002) 034

H. Yang, JHEP 11 (2002) 007

I. Aref’eva, L.J., A. Koshelev, JHEP, 09 (2003) 012

Solution construction for Minkowski case

Ya. Volovich, JPA, 2003; Ya. Volovich, V.S. Vladimirov, Theor. Math. Phys. 2004;

L.J., Theor. Math. Phys. 2006 or arxiv: 0708.0642[hep-th];

V.S. Vladimirov, arxiv: 0705.4600

D. V. Prokhorenko, math-ph/0611068; G. Calcagni, G. Nardelli, arxiv: 0708.0366

Standard Cosmological Concordance Model is emerging

during the last 10 years …

Big Bang/Inflationary Cosmology

Picture taken from:cosmology.berkeley.edu

A great discovery of the last few years is the discoveryof the current accelerated expansion of the Universe

Observations (1998) of very distant supernovae demonstrated that the Universe is expanding with an acceleration. Ia Supernovae: S.Perlmutter et al., A.Riess et al., 1998;

This acceleration seems to be explicable by the presence of a new component of matter called dark energy (DE).

DE is a special unknown form of matter with negative pressure and it provides universal repulsive forces (antigravity).

Standard Cosmological Concordance Model is emerging

during the last 10 years…

String Field Theory as a possible cosmological framework

Non-locality and Cosmology

- Non-local gravity ad-hoc:

Arkani-Hamed at al hep-th/0209227;

Khoury, hep-th/0612052;

T.Biswas, A.Mazumdar, W.Siegel, hep-th/0508194,

G.Dvali, S. Hofmann, JKhoury,hep-th/0703027

S.Deser, R.Woodard, arXiv:0706.2151S.

- Non-local SFT:

I.Aref’eva, LJ, A.Koshelev, JHEP, 2003;

I.Aref’eva, LJ, JHEP, 2005

G.Calcagni, JHEP, 2005

LJ, PRD 2007

G. Calcagni, M.Montobbio, G.Nardelli; PRD 2007

N. Barnaby, T. Biswas, J.M. Cline, JHEP 2007

J.Lidsey, PRD 2007;

D. Mulryne, N. Nunes, PRD 2008

Einstein equations

FriedmannCosmology

+ Cosmological principle

Isotropic

Homogeneous

K=+1 (3-sphere), k=0 (plane), k=-1 (3-hyperboloid)

Does exist the rolling tachyon solution in the case of cubic potential?

Main results presented in this talk:

- Construction of rolling cosmological solutions for:

- Tachyon field describing non-BPS branes

in Friedmann-Robertson-Walker background

(Does exist in Minkowski case AJK)

- Tachyon field of open bosonic string

in Friedmann-Robertson-Walker background

(Does not exist in the Minkowski case (Moeller, Zwiebach) )

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