A quantum string theory of hadrons and its relation to quantum chromodynamics in two dimensions

We discuss the space-time interpretation of bosonic string theories, which involve d scalar fields coupled to gravity in two dimensions, with a proper quantization of the world-sheet metric. We show that for d>25, the theory cannot describe string modes consistently coupled to each other. For d=25 this is possible; however, in this case the Liouville mode acts as an extra timelike variable and one really has a string moving in 26-dimensional space-time with a Lorentzian signature. By analyzing such a string theory in background fields, we show that the d=25 theory possesses the full 26-dimensional general covariance.

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Bound states and asymptotic limits for quantum chromodynamics in two dimensions

Physical Review D ◽

10.1103/physrevd.19.3024 ◽

1979 ◽

Vol 19 (10) ◽

pp. 3024-3049 ◽

Cited By ~ 18

Author(s):

R. C. Brower ◽

W. L. Spence ◽

J. H. Weis

Keyword(s):

Quantum Chromodynamics ◽

Bound States ◽

Two Dimensions

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QCD, with strings attached

International Journal of Modern Physics E ◽

10.1142/s021830131630006x ◽

2016 ◽

Vol 25 (10) ◽

pp. 1630006 ◽

Cited By ~ 2

Author(s):

Alberto Güijosa

Keyword(s):

String Theory ◽

Quantum Chromodynamics ◽

Large Class ◽

Strong Coupling ◽

Field Theories ◽

Strong Coupling Regime ◽

Efficient Tool ◽

Strongly Coupled ◽

Coupled Field ◽

Gauge Gravity

In the nearly 20 years that have elapsed since its discovery, the gauge-gravity correspondence has become established as an efficient tool to explore the physics of a large class of strongly-coupled field theories. A brief overview is given here of its formulation and a few of its applications, emphasizing attempts to emulate aspects of the strong-coupling regime of quantum chromodynamics (QCD). To the extent possible, the presentation is self-contained, and does not presuppose knowledge of string theory.

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DILATONIC GRAVITY NEAR TWO DIMENSIONS AS A STRING THEORY

Modern Physics Letters A ◽

10.1142/s0217732395002155 ◽

1995 ◽

Vol 10 (27) ◽

pp. 2001-2008 ◽

Cited By ~ 1

Author(s):

E. ELIZALDE ◽

S.D. ODINTSOV

Keyword(s):

Fixed Point ◽

Renormalization Group ◽

String Theory ◽

Sigma Model ◽

Scalar Fields ◽

Two Dimensions ◽

Gravitational Coupling ◽

Dilaton Coupling

Using the renormalization group formalism, a sigma model of a special type — in which the metric and the dilaton depend explicitly on one of the string coordinates only — is investigated near two dimensions. It is seen that dilatonic gravity coupled to N scalar fields can be expressed in this form, using a string parametrization, and that it possesses the usual uv fixed point. However, in this stringy parametrization of the theory the fixed point for the scalar-dilaton coupling turns out to be trivial, while that for the gravitational coupling remains the same as in previous studies being, in particular, nontrivial.

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Scalar quantum chromodynamics in two dimensions and the parton model

Nuclear Physics B ◽

10.1016/0550-3213(78)90039-1 ◽

1978 ◽

Vol 141 (4) ◽

pp. 445-466 ◽

Cited By ~ 25

Author(s):

Sun-Sheng Shei ◽

Hung-Sheng Tsao

Keyword(s):

Quantum Chromodynamics ◽

Parton Model ◽

Two Dimensions ◽

Scalar Quantum

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STRING HAMILTONIAN FROM GENERALIZED YANG–MILLS GAUGE THEORY IN TWO DIMENSIONS

International Journal of Modern Physics A ◽

10.1142/s0217751x04016489 ◽

2004 ◽

Vol 19 (02) ◽

pp. 205-225 ◽

Cited By ~ 3

Author(s):

FLORIAN DUBATH ◽

SIMONE LELLI ◽

ANNA RISSONE

Keyword(s):

Gauge Theory ◽

String Theory ◽

Space Time ◽

Two Dimensions ◽

Two Dimensional ◽

Bosonic Field ◽

Standard Case ◽

Free Fermions ◽

Yang Mills ◽

Large N

Two-dimensional SU (N) Yang–Mills theory is known to be equivalent to a string theory, as found by Gross in the large N limit, using the 1/N expansion. Later it was found that even a generalized YM theory leads to a string theory of the Gross type. In the standard YM theory case, Douglas and others found the string Hamiltonian describing the propagation and the interactions of states made of strings winding on a cylindrical space–time. We address the problem of finding a similar Hamiltonian for the generalized YM theory. As in the standard case we start by writing the theory as a theory of free fermions. Performing a bosonization, we express the Hamiltonian in terms of the modes of a bosonic field, that are interpreted as in the standard case as creation and destruction operators for states of strings winding around the cylindrical space–time. The result is similar to the standard Hamiltonian, but with new kinds of interaction vertices.

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