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Keywords
(8)
Effective Action
Energy Levels
Hamiltonian Formalism
Lorentz Invariance
Partition Function
yangmills theory
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Corrections to NambuGoto energy levels from the effective string action
Corrections to NambuGoto energy levels from the effective string action,10.1007/JHEP12(2010)058,Journal of High Energy Physics,Ofer Aharony,Nizan Kli
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Corrections to NambuGoto energy levels from the effective string action
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Citations: 8
)
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Ofer Aharony
,
Nizan Klinghoffer
The
effective action
on long strings, such as confining strings in pure YangMills theories, is wellapproximated by the NambuGoto action, but this action cannot be exact. The leading possible corrections to this action (in a long string expansion in the static gauge), allowed by Lorentz invariance, were recently identified, both for closed strings and for open strings. In this paper we compute explicitly in a
Hamiltonian formalism
the leading corrections to the lowestlying NambuGoto
energy levels
in both cases, and verify that they are consistent with the previously computed effective string partition functions. For open strings of length R the leading correction is of order 1/R 4, for excited closed strings of length R in D> 3 spacetime dimensions it is of order 1/R 5, while for the
ground state
of the closed string in any dimension it is of order 1/R 7. We attempt to match our closed string corrections to lattice results, but the latter are still mostly outside the range of convergence of the 1/R expansion that we use.
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 12, pp. 118, 2010
DOI:
10.1007/JHEP12(2010)058
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Citation Context
(2)
...The energy levels of the effective string action can also be computed directly in a Hamiltonian formalism [
45
], which gives the same results...
Ofer Aharony
,
et al.
On the effective theory of long open strings
...Note added. As the revised version of this paper was being prepared, two further papers have appeared containing interesting new analytic results on the effective string action [
52
, 53]...
Andreas Athenodorou
,
et al.
Closed flux tubes and their string description in D =3+1 SU( N ) gauge...
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(
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Ofer Aharony
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Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 6, no. 06, pp. 012012, 2009
The spectrum of closed loops of fundamental flux in D=3+1 SU(N) gauge theories
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)
Andreas Athenodorou
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Closed flux tubes and their string description in D =3+1 SU( N ) gauge theories
(
Citations: 4
)
Andreas Athenodorou
,
Barak Bringoltz
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Michael Teper
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
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Comparing the NambuGoto string with LGT results
(
Citations: 3
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Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 3, no. 03, pp. 026026, 2005
Sort by:
Citations
(8)
On the effective theory of long open strings
(
Citations: 5
)
Ofer Aharony
,
Matan Field
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 1, pp. 148, 2011
Closed flux tubes and their string description in D =3+1 SU( N ) gauge theories
(
Citations: 4
)
Andreas Athenodorou
,
Barak Bringoltz
,
Michael Teper
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 2, pp. 163, 2011
Linear broadening of the confining string in YangMills theory at low temperature
(
Citations: 4
)
F. Gliozzi
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M. Pepe
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U.J. Wiese
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 1, pp. 111, 2011
Universal signatures of the effective string in finite temperature lattice gauge theories
(
Citations: 1
)
Michele Caselle
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Alessandra Feo
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Marco Panero
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Roberto Pellegrini
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 4, pp. 122, 2011
Can holography reproduce the QCD Wilson line?
(
Citations: 1
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Uri Kol
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Jacob Sonnenschein
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Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 5, pp. 143, 2011