Structure of the anomaly in the canonical quantization of bosonic strings in background fields

1996 ◽  
Vol 108 (2) ◽  
pp. 1083-1092
Author(s):  
I. L. Buchbinder ◽  
E. I. Buchbinder ◽  
B. R. Mishchuk ◽  
V. D. Pershin
Keyword(s):  
Bosonic Strings ◽  
Canonical Quantization ◽  
Background Fields

scholarly journals INDEX THEOREMS ON TORSIONAL GEOMETRIES

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2260-2261
Author(s):  
TETSUJI KIMURA
Keyword(s):  
Quantum Mechanics ◽  
Canonical Quantization ◽  
Quantization Condition ◽  
Euler Characteristics ◽  
Flux Compactification ◽  
Index Theorems ◽  
Fundamental Information ◽  
Canonical Quantization Condition ◽  
Background Fields ◽  
Effective Theories

We investigate the Atiyah-Singer index theorems with torsion given by Neveu-Schwarz three-form flux H under the condition d H = 0 in flux compactification scenarios with non-trivial background fields in string theories. Using an identification between the Clifford algebra on the geometry and the canonical quantization condition in [Formula: see text] quantum mechanics, we explicitly reformulate the Dirac index on manifolds with torsion, which will provides a fundamental information to effective theories derived from string theory. In the same analogy we also reformulate the Euler characteristics and the Hirzebruch signatures in the framework of [Formula: see text] quantum mechanics.

Open bosonic strings in general background fields

1986 ◽  
Vol 32 (4) ◽  
pp. 599-607 ◽  
Author(s):  
H. Dorn ◽  
H. -J. Otto
Keyword(s):  
Bosonic Strings ◽  
Background Fields

σ-MODELS AND STRING THEORIES

1987 ◽  
Vol 02 (03) ◽  
pp. 667-693 ◽  
Author(s):  
S. RANDJBAR-DAEMI ◽  
ABDUS SALAM ◽  
J. A. STRATHDEE
Keyword(s):  
Bosonic Strings ◽  
Proper Time ◽  
Background Field ◽  
Dimensional Manifold ◽  
Field Equations ◽  
World Sheet ◽  
Global Features ◽  
String Loop ◽  
Definition Of ◽  
Background Fields

The propagation of closed bosonic strings interacting with background gravitational and dilaton fields is reviewed. The string is treated as a quantum field theory on a compact 2-dimensional manifold. The question is posed as to how the conditions for the vanishing trace anomaly and the ensuing background field equations may depend on global features of the manifold. It is shown that to the leading order in σ-model perturbation theory the string loop effects do not modify the gravitational and the dilaton field equations. However for the purely bosonic strings new terms involving the modular parameter of the world sheet are induced by quantum effects which can be absorbed into a re-definition of the background fields. We also discuss some aspects of several regularization schemes such as dimensional, Pauli-Villars and the proper-time cut off in an appendix.

GENERALIZED CANONICAL QUANTIZATION OF BOSONIC STRING IN BACKGROUND FIELDS

1991 ◽  
Vol 06 (07) ◽  
pp. 1211-1231 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
E.S. FRADKIN ◽  
S.L. LYAKHOVICH ◽  
V.D. PERSHIN
Keyword(s):  
Quantum Correction ◽  
Equations Of Motion ◽  
Canonical Quantization ◽  
Virasoro Algebra ◽  
Bosonic String ◽  
Classical Formulation ◽  
Weyl Ordering ◽  
Wick Ordering ◽  
Background Fields ◽  
Closed Bosonic String

The theory of a closed bosonic string interacting with background fields, namely, with metric, antisymmetric tensor of second rank and dilaton, is considered. The classical formulation of the constrained theory is developed and the canonical quantization is carried out. The combined symbols of the Virasoro operators corresponding to the Weyl ordering of zero string modes and to the Wick ordering of oscillating ones are constructed. The quantum Virasoro algebra is formulated by means of star-commutators corresponding to these symbols and the nonlocal first quantum correction in the algebra is calculated. The local part of the correction linear in curvature is derived and effective equations of motion for background fields are obtained in the lowest order.

scholarly journals Thermodynamics of Open Bosonic Strings in Background Fields

1988 ◽  
Vol 79 (5) ◽  
pp. 1197-1208 ◽  
Author(s):  
H. Kanasugi ◽  
H. Okada
Keyword(s):  
Bosonic Strings ◽  
Background Fields

scholarly journals GENERALIZED W3-STRINGS FROM FREE FIELDS

1995 ◽  
Vol 10 (06) ◽  
pp. 515-524 ◽  
Author(s):  
J. M. FIGUEROA-O'FARRILL ◽  
C. M. HULL ◽  
L. PALACIOS ◽  
E. RAMOS
Keyword(s):  
Bosonic Strings ◽  
Free Field ◽  
Space Time ◽  
General Construction ◽  
Special Cases ◽  
Free Fields ◽  
Rule Out ◽  
General Conditions ◽  
String Theories

The conventional quantization of w3-strings gives theories which are equivalent to special cases of bosonic strings. We explore whether a more general quantization can lead to new generalized W3-string theories by seeking to construct quantum BRST charges directly without requiring the existence of a quantum W3-algebra. We study W3-like strings with a direct space-time interpretation — that is, with matter given by explicit free field realizations. Special emphasis is placed on the attempt to construct a quantum W-string associated with the magic realizations of the classical w3-algebra. We give the general conditions for the existence of W3-like strings, and comment on how the known results fit into our general construction. Our results are negative: we find no new consistent string theories, and in particular rule out the possibility of critical strings based on the magic realizations.

Vacuum polarization and particle creation in the presence of a potential step

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641031 ◽  
Author(s):  
S. P. Gavrilov ◽  
D. M. Gitman
Keyword(s):  
Electric Potential ◽  
Canonical Quantization ◽  
Particle Creation ◽  
Pair Creation ◽  
Dirac Field ◽  
Potential Step ◽  
Electron Positron ◽  
Physical Impact ◽  
Particle Interpretation ◽  
Electron Positron Pair

We consider QED with strong external backgrounds that are concentrated in restricted space areas. The latter backgrounds represent a kind of spatial x-electric potential steps for charged particles. They can create particles from the vacuum, the Klein paradox being closely related to this process. We describe a canonical quantization of the Dirac field with x-electric potential step in terms of adequate in- and out-creation and annihilation operators that allow one to have consistent particle interpretation of the physical system under consideration and develop a nonperturbative (in the external field) technics to calculate scattering, reflection, and electron-positron pair creation. We resume the physical impact of this development.

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