136 research outputs found
A solution to the 4-tachyon off-shell amplitude in cubic string field theory
We derive an analytic series solution of the elliptic equations providing the
4-tachyon off-shell amplitude in cubic string field theory (CSFT). From such a
solution we compute the exact coefficient of the quartic effective action
relevant for time dependent solutions and we derive the exact coefficient of
the quartic tachyon coupling. The rolling tachyon solution expressed as a
series of exponentials is studied both using level-truncation
computations and the exact 4-tachyon amplitude. The results for the level
truncated coefficients are shown to converge to those derived using the exact
string amplitude. The agreement with previous work on the subject, both on the
quartic tachyon coupling and on the CSFT rolling tachyon, is an excellent test
for the accuracy of our off-shell solution.Comment: 26 pages, 5 figure
The Final Fate of the Rolling Tachyon
We propose an alternative interpretation of the boundary state for the
rolling tachyon, which may depict the time evolution of unstable D-branes in
string theory. Splitting the string variable in the temporal direction into the
classical part, which we may call "time" and the quantum one, we observe the
time dependent behaviour of the boundary. Using the fermion representation of
the rolling tachyon boundary state, we show that the boundary state correctly
describes the time-dependent decay process of the unstable D-brane into a
S-brane at the classical level.Comment: 9 pages, revte
Generalized quark-antiquark potential at weak and strong coupling
We study a two-parameter family of Wilson loop operators in N=4
supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2
BPS line or circle and a pair of antiparallel lines. These observables capture
a natural generalization of the quark-antiquark potential. We calculate these
loops on the gauge theory side to second order in perturbation theory and in a
semiclassical expansion in string theory to one-loop order. The resulting
determinants are given in integral form and can be evaluated numerically for
general values of the parameters or analytically in a systematic expansion
around the 1/2 BPS configuration. We comment about the feasibility of deriving
all-loop results for these Wilson loops.Comment: 43 pages: 15 comprising the main text and 25 for detailed appendice
The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a Super Yang-Mills Plasma
Applying the AdS/CFT correspondence, the expansion of the heavy-quark
potential of the supersymmetric Yang-Mills theory at large is
carried out to the sub-leading term in the large 't Hooft coupling at nonzero
temperatures. The strong coupling corresponds to the semi-classical expansion
of the string-sigma model, the gravity dual of the Wilson loop operator, with
the sub-leading term expressed in terms of functional determinants of
fluctuations. The contributions of these determinants are evaluated
numerically.Comment: 17 pages in JHEP3, typos fixed, updated version to be published in
JHE
Precision calculation of 1/4-BPS Wilson loops in AdS(5) x S-5
We study the strong coupling behaviour of 1/4-BPS circular Wilson loops (a family of “latitudes”) in N=4 Super Yang-Mills theory, computing the one-loop corrections to the relevant classical string solutions in AdS5 ×S5. Supersymmetric localization provides an exact result that, in the large ’t Hooft coupling limit, should be reproduced by the sigma-model approach. To avoid ambiguities due to the absolute normalization of the string partition function, we compare the ratio between the generic latitude and the maximal 1/2-BPS circle: any measure-related ambiguity should simply cancel in this way. We use the Gel’fand-Yaglom method with Dirichlet boundary conditions to calculate the relevant functional determinants, that present some complications with respect to the standard circular case. After a careful numerical evaluation of our final expression we still find disagreement with the localization answer: the difference is encoded into a precise “remainder function”. We comment on the possible origin and resolution of this discordance
Markers of Liver Function as Potential Prognostic Indicators of SARS-CoV-2 infection: A Retrospective Analysis during the First and Second Waves of COVID-19 Pandemic
Background: Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) pandemic is known to cause a predominant respiratory disease, although extrapulmonary manifestations can also occur. One of the targets of Coronavirus disease 2019 (COVID-19) is the hepatobiliary system. The present study aims to describe the correlation between the increase of liver damage markers (i.e. alanine aminotransferase [ALT], aspartate aminotransferase [AST], total bilirubin [TB]) and COVID-19 outcomes (i.e., in-hospital mortality [IHM] and intensive care unit [ICU] transfer).
Methods: All patients with confirmed SARS-CoV-2 infection admitted to the Infectious Diseases Unit of the St. Anna University-Hospital of Ferrara from March 2020 to October 2021 were retrospectively included in this single-centre study. ALT, AST and TB levels were tested in all patients and IHM or ICU transfer were considered as main outcomes. Co-morbidities were assessed using Charlson Comorbidity Index.
Results: A total of 106 patients were retrieved. No hepatic marker was able to predict IHM, whereas all of them negatively predicted ICU transfer (ALT: OR 1.005, 95%CI 1.001-1.009, p= 0.011; AST: OR 1.018, 95%CI 1.006-1.030, p= 0.003; TB: OR 1.329, 95%CI 1.025-1.724, p= 0.032). Age was the only parameter significantly related to mortality.
Conclusions: The present study, by correlating liver damage markers with COVID-19 outcome, showed that an increase of ALT, AST and TB predicted patients' severity, although not mortality
Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics
We study the rolling tachyon and the dissipative quantum mechanics using the
Thirring model with a boundary mass. We construct a boundary state for the
dissipative quantum system in one dimension, which describes the system at the
off-critical points as well as at the critical point. Then we extend the
Thirring model with a boundary mass in order to depict the time evolution of an
unstable D-branes with one direction wrapped on a circle of radius , which
is termed the inhomogeneous rolling tachyon. The analysis based on the Thirring
model shows that the time dependent evolution of the inhomogeneous tachyon is
possible only when .Comment: 19 pages, 2 figures, This work supersedes the previous one,
arXiv:0705.3930 [hep-th
Twist operators in N=4 beta-deformed theory
In this paper we derive both the leading order finite size corrections for
twist-2 and twist-3 operators and the next-to-leading order finite-size
correction for twist-2 operators in beta-deformed SYM theory. The obtained
results respect the principle of maximum transcendentality as well as
reciprocity. We also find that both wrapping corrections go to zero in the
large spin limit. Moreover, for twist-2 operators we studied the pole structure
and compared it against leading BFKL predictions.Comment: 17 pages; v2: minor changes, references adde
Quark-antiquark potential in AdS at one loop
We derive an exact analytical expression for the one-loop partition function
of a string in AdS_5xS^5 background with world-surface ending on two
anti-parallel lines. All quantum fluctuations are shown to be governed by
integrable, single-gap Lame' operators. The first strong coupling correction to
the quark-antiquark potential, as defined in N=4 SYM, is derived as the sum of
known mathematical constants and a one-dimensional integral representation. Its
full numerical value can be given with arbitrary precision and confirms a
previous result.Comment: 16 pages. Typos corrected, minor change
Can holography reproduce the QCD Wilson line?
Recently a remarkable agreement was found between lattice simulations of long
Wilson lines and behavior of the Nambu Goto string in flat space-time. However,
the latter fails to fit the short distance behavior since it admits a tachyonic
mode for a string shorter than a critical length. In this paper we examine the
question of whether a classical holographic Wilson line can reproduce the
lattice results for Wilson lines of any length. We determine the condition on
the the gravitational background to admit a Coulombic potential at short
distances. We analyze the system using three different renormalization schemes.
We perform an explicit best fit comparison of the lattice results with the
holographic models based on near extremal D3 and D4 branes, non-critical near
extremal AdS6 model and the Klebanov Strassler model. We find that all the
holographic models examined admit after renormalization a constant term in the
potential. We argue that the curves of the lattice simulation also have such a
constant term and we discuss its physical interpretation
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