Nonrelativistic Limit of the Bosonic String

An action for the nonrelativistic string is proposed that is invariant under general coordinate transformations on the string worldsheet. Hamiltonian formalism for the nonrelativistic string is given. Particular solutions of the Euler-Lagrange equations are found in the time gauge.

Note:

14 pages, 1 figure

gauge: time
string model: boson

References(19)

Figures(1)

Solution and Quantization of a Nonlinear Two-dimensional Model for a Born-Infeld Type Field

Boris Barbashov
(
- Dubna, JINR
)
,
Nikolai Chernikov
(
- Dubna, JINR
)

- Sov.Phys.JETP 23 (1966) 5, 861-868

[transl. from

B.M. Barbashov
,
N.A. Chernikov

- Zh.Eksp.Teor.Fiz. 50 (1966) 1296-1308

Solution of the two plane wave scattering problem in a nonlinear scalar field theory of the Born–Infeld type

Boris M. Barbashov
(
- Dubna, JINR
)
,
N.A. Chernikov
(
- Dubna, JINR
)

- Sov.Phys.JETP 24 (1967) 2, 437-442,
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Solution of the two plane wave scattering problem in a nonlinear scalar field theory of the Born–Infeld type

Boris M. Barbashov
(
- Dubna, JINR
)
,
N.A. Chernikov
(
- Dubna, JINR
)

- Sov.Phys.JETP 24 (1967) 2, 437-442,
- Zh.Eksp.Teor.Fiz. 51 (1966) 2, 658-668

Introduction to the relativistic string theory

B.M. Barbashov
,
V.V. Nesterenko

String Theory and String Newton-Cartan Geometry

Eric A. Bergshoeff
(
- Groningen U.
)
,
Jaume Gomis
(
- Perimeter Inst. Theor. Phys.
)
,
Jan Rosseel
(
- Vienna U.
)
,
Ceyda Şimşek
(
- Groningen U.
)
,
Ziqi Yan
(
- Perimeter Inst. Theor. Phys.
)

- J.Phys.A 53 (2020) 1, 014001
•
e-Print:
- 1907.10668
•
DOI:
- 10.1088/1751-8121/ab56e9

String Theory and String Newton-Cartan Geometry

Eric A. Bergshoeff
(
- Groningen U.
)
,
Jaume Gomis
(
- Perimeter Inst. Theor. Phys.
)
,
Jan Rosseel
(
- Vienna U.
)
,
Ceyda Şimşek
(
- Groningen U.
)
,
Ziqi Yan
(
- Perimeter Inst. Theor. Phys.
)

- J.Phys.A 53 (2020) 1, 014001
•
e-Print:
- 1907.10668
•
DOI:
- 10.1088/1751-8121/ab56e9

PRINCIPLES OF STRING THEORY

L. Brink
,
M. Henneaux

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Jaume Gomis
(
- Caltech and
- CIT-USC
)
,
Hirosi Ooguri
(
- Caltech and
- CIT-USC
)

- J.Math.Phys. 42 (2001) 3127-3151
•
e-Print:
- hep-th/0009181
•
DOI:
- 10.1063/1.1372697

Nonrelativistic closed string theory

Jaume Gomis
(
- Caltech and
- CIT-USC
)
,
Hirosi Ooguri
(
- Caltech and
- CIT-USC
)

- J.Math.Phys. 42 (2001) 3127-3151
•
e-Print:
- hep-th/0009181
•
DOI:
- 10.1063/1.1372697

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Tetsuo Goto
(
- Nihon U., Tokyo
)

- Prog.Theor.Phys. 46 (1971) 1560-1569
•
DOI:
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Superstring Theory (Cambridge Univ. Press, Cambridge,), Vols. 1, 2.MATH

M.B. Green
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J.H. Schwarz
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On origin and physical meaning of ward-like identity in dual-resonance model

O. Hara
(
- Nihon U., Tokyo
)

- Prog.Theor.Phys. 46 (1971) 1549-1559
•
DOI:
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Nonrelativistic string

M.O. Katanaev
(
- Steklov Math. Inst., Moscow
)

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Nonrelativistic string

M.O. Katanaev
(
- Steklov Math. Inst., Moscow
)

- Yad.Fiz. 48 (1987) 296-298,
- Sov.J.Nucl.Phys. 48 (1988) 186-187

Theoretical Physics, Vol. 2: Field Theory, 7th ed. (Nauka, Moscow, 1988). Engl. transl. of the 6th ed.: Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields

L.D. Landau
,
E.M. Lifshitz

Duality and hadrodynamics (notes prepared for the Copenhagen High Energy Symposium, Aug. 1970)

Y. Nambu

An almost physical interpretation of the integrand of the N-point Veneziano model

H.B. Nielsen

Dual symmetric theory of hadrons. 1.

Leonard Susskind
(
- Yeshiva U.
)

- Nuovo Cim.A 69 (1970) 457-496
•
DOI:
- 10.1007/BF02726485