Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · hep-th/9608066

Maxwell-Bloch equation and Correlation function for penetrable Bose gas

T. Kojima·V. Korepin
View original source ↗Read source document ↗Export metadata ↓

Abstract

We consider the quantum nonlinear Schrödinger equation in one space and one time dimension. We are interested in the non-free-fermionic case. We consider static temperature-dependent correlation functions. The determinant representation for correlation functions simplifies in the small mass limit of the Bose particle. In this limit we describe the correlation functions by the vacuum expectation value of a boson-valued solution for Maxwell-Bloch differential equation. We evaluate long-distance asymptotics of correlation functions in the small mass limit.

Explore related subjects

hep-thmath.QAnlin.SIq-algsolv-int

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

T. Kojima, V. Korepin. 1997-03-29. Maxwell-Bloch equation and Correlation function for penetrable Bose gas. https://doi.org/10.1088/0305-4470%2F30%2F14%2F020

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Large N instantons, BPS states, and the replica limit

We study the relation between large N instantons and conventional instantons, focusing on matrix models and topological strings. We show that the resurgent properties of the perturbative series at fixed but arbitrary N, including the replica limit N = 0, can be obtained from large N instantons. In the case of topological strings, it has been conjectured that the resurgent structure encoded by large N instantons is closely related to the spectrum of BPS states. We give direct evidence for this connection in the case of Seiberg-Witten theory and other topological string models, and we show in detail how the resurgent properties at fixed N follow from the large N theory, and therefore can be used to obtain information on BPS invariants.

hep-th↗
arXiv2026

Subleading Chern-Simons soft factors in perturbative de Sitter

Chern--Simons perturbations introduce corrections to soft theorems for gauge theories at subleading $\mathcal{O}\left(ω^0\right)$ order in soft momenta. We investigate these soft theorems in flat spacetime with perturbative $1/\ell^2$ de Sitter corrections. Following previous works, we define the perturbative scattering matrix in a compact region in the static patch of de Sitter. We start with computing the soft theorem for an $n$-gluon amplitude in pure Yang--Mills. We then add a Chern--Simons perturbation and compute the correction to the subleading soft theorem. We show that Chern--Simons corrections do not mix with the $1/\ell^2$ de Sitter curvature corrections at subleading order $\mathcal{O}\left(ω^0\right)$. Alternatively, one can say that the subleading Chern--Simons soft factors are insensitive to the de Sitter curvature at this order, indicating their topological nature at the level of amplitudes. This also suggests a universal behavior of these Chern--Simons soft factors.

hep-th↗
arXiv2026

D4-branes wrapped on topological disks from matter-coupled F(4) gauged supergravity

We study a number of supersymmetric $AdS_4\times Σ$ solutions with $Σ$ being a topological disk with non-trivial $U(1)$ holonomy on the boundary or a ``half-spindle'' from matter-coupled $F(4)$ gauged supergravity. The gauged supergravity is coupled to three vector multiplets with $SO(3)\times SO(3)$ gauge group. The resulting solutions preserve eight supercharges and $SO(2)\times SO(2)$ or $SO(2)_{\text{diag}}$ symmetries and are expected to be dual to $N=2$ SCFTs in three dimensions arising from compactifications of five-dimensional $N=2$ SCFT on a half-spindle. All of the solutions lie within the $U(1)\times U(1)$ subsector of the matter-coupled $F(4)$ gauged supergravity that can be embedded in massive type IIA theory. After uplifted to ten dimensions, the solutions can be interpreted as a system of D4-D8-branes wrapped on $Σ$. Some of the solutions are asymptotic to a locally $AdS_6$ geometry and can be identified as codimension-2 conformal defects within the $N=2$ SCFT in five dimensions. For these solutions, the circle inside $Σ$ decompactifies in the $AdS_6$ limit rendering the holographic free energy infinite. There also exist solutions with finite free energy in the dual three-dimensional SCFTs. In addition, we show that the results both extend the previously known solutions and provide a novel class of solutions.

hep-th↗