Issues on tadpoles and vacuum redefinitions in string theory

This Thesis discusses a number of issues related to the problem of tadpoles and vacuum redefinitions that the breaking of supersymmetry brings about in String Theory. The idea pursued here is to try to formulate the theory in a ``wrong'' vacuum (the vacuum that one naively identifies prior to the redefinitions) and, gaining some intuition from some simpler field theory settings, try to set up a calculational scheme for vacuum redefinitions in String Theory. This requires in general complicated resummations, but some simpler cases can be identified. This is true, in principle, for models with fluxes, where tadpoles can be perturbatively small, and for the one-loop threshold corrections, that in a large class of models (without rotated branes) remain finite even in the presence of tadpoles. The contents of the Thesis elaborate on those of hep-th/0410101, but include a number of additions, related to the explicit study of a quartic potential in Field Theory, where some subtleties were previously overlooked, and to the explicit evaluation of the one-loop threshold corrections for a number of string models with broken supersymmetry.

Note:

Ph.D. Thesis (Advisor: Augusto Sagnotti)

thesis
string model
supersymmetry: symmetry breaking
field theory: action
quantization
light cone gauge
compactification: torus
compactification: orbifold
tadpole
effective action

References(179)

Figures(0)

The Cosmological Constant Problem

Steven Weinberg
(
- Texas U.
)

- Rev.Mod.Phys. 61 (1989) 1-23,
•
DOI:
- 10.1103/RevModPhys.61.1

The Cosmological constant from the viewpoint of string theory

Edward Witten
(
- Caltech and
- CIT-USC
)

•
e-Print:
- hep-ph/0002297

The Cosmological constant

Sean M. Carroll
(
- Chicago U., EFI
)

- Living Rev.Rel. 4 (2001) 1
•
e-Print:
- astro-ph/0004075
•
DOI:
- 10.12942/lrr-2001-1

Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories

G. Veneziano
(
- CERN
)

- Nuovo Cim.A 57 (1968) 190-197
•
DOI:
- 10.1007/BF02824451

Alternative constructions of crossing-symmetric amplitudes with regge behavior

M.A. Virasoro
(
- Wisconsin U., Madison
)

- Phys.Rev. 177 (1969) 2309-2311
•
DOI:
- 10.1103/PhysRev.177.2309

Narrow-resonance model with regge behavior for pi pi scattering

J.A. Shapiro
(
- UC, Berkeley
)

- Phys.Rev. 179 (1969) 1345-1353
•
DOI:
- 10.1103/PhysRev.179.1345

Factorizable dual model of pions

A. Neveu
(
- Princeton U.
)
,
J.H. Schwarz
(
- Princeton U.
)

- Nucl.Phys.B 31 (1971) 86-112
•
DOI:
- 10.1016/0550-3213(71)90448-2

Quark Model of Dual Pions

A. Neveu
(
- Princeton U.
)
,
J.H. Schwarz
(
- Princeton U.
)

- Phys.Rev.D 4 (1971) 1109-1111,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 84-86
•
DOI:
- 10.1103/PhysRevD.4.1109

Reformulation of the Dual Pion Model

- Phys.Lett.B 35 (1971) 529-533,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 87-91
•
DOI:
- 10.1016/0370-2693(71)90391-1

An Interpretation of Dual Theories

Pierre Ramond
(
- Fermilab
)

- Nuovo Cim.A 4 (1971) 544-548
•
DOI:
- 10.1007/BF02731370

Dual Theory for Free Fermions

Pierre Ramond
(
- Fermilab
)

- Phys.Rev.D 3 (1971) 2415-2418
•
DOI:
- 10.1103/PhysRevD.3.2415

Supergravity and the Spinor Dual Model

F. Gliozzi
(
- Ecole Normale Superieure
)
,
Joel Scherk
(
- Ecole Normale Superieure
)
,
David I. Olive
(
- CERN
)

- Phys.Lett.B 65 (1976) 282-286
•
DOI:
- 10.1016/0370-2693(76)90183-0

Supersymmetry, Supergravity Theories and the Dual Spinor Model

F. Gliozzi
(
- Ecole Normale Superieure
)
,
Joel Scherk
(
- Ecole Normale Superieure
)
,
David I. Olive
(
- CERN and
- Bohr Inst.
)

- Nucl.Phys.B 122 (1977) 253-290,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 300-337,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 2*, 1209-1246,
- In *Schellekens, A.N. (ed.): Superstring construction* 33-70
•
DOI:
- 10.1016/0550-3213(77)90206-1