BOUND STATE BOUNDARY S MATRIX OF THE SINE-GORDON MODEL. SUBIR GHOSHAL. SUBIR GHOSHAL. Department of Physics and Astronomy, Rutgers University, PO Box 849, Piscataway, NJ 08855–0849, USA.

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Two basic lemmas are introduced which should hold Equation (6.56) is identical to the sine–Gordon equation used to describe commensurate-incommensurate transitions in solids, for which structural configurations correspond to minima of the effective potential V [4].For the purposes of the current discussion, we will neglect the q–dependence of δ and assume that it is fixed.We note, however, that it is possible for δ to become negative as Apr 11, 2005 Jan 01, 2010 We argue that the same fixed point appears in the boundary sine-Gordon model when the scaling dimension of the boundary term $1/2 < \Delta < 1$. Discover the world's research 19+ million members Superconducting Josephson chains with a weak link [18,22] and SQUIDs [19,23] may be indeed described by boundary sine Gordon models yielding a phase diagram with only two fixed points: an unstable 2003-11-17 · We shall have mostly two theories in mind. The first is of the boundary sine-Gordon model type 1 (1) H= 1 2 ∫ 0 R dx (∂ t φ) 2 +(∂ x φ) 2 + Δ l cos β 2 φ(0)+ Δ r cos β 2 φ(R)−χ, and the second of Kondo type (2) H= 1 2 ∫ 0 R dx (∂ t φ) 2 +(∂ x φ) 2 + Δ l e i β 2 φ(0) S l − +e −i β 2 φ(0) S l + + Δ r e i β 2 φ(R) S r − +e −i β 2 φ(R) S r +. We nd the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors.

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The boundary S-matrix can be matched onto the solution of Ghoshal and Zamolodchikov, thereby relating the formal parameters in the latter solution to the physical parameters in the lagrangian. 2011-11-21 · Boundary sinh-Gordon model. The sinh-Gordon theory in the bulk is defined by the Lagrangian density L = 1 2 (∂ μ Φ) 2 − m 2 b 2 (c o s h b Φ − 1) It can be considered as the analytic continuation of the sine-Gordon model for imaginary coupling. 2006-02-22 · The boundary Lagrangian we will use for the sine-Gordon model is of the same type as those used in [21, 22]. It would be very interesting to see how to employ the methods of the previous references in the case of non-homogeneous worldsheet superpotentials to obtain further insight, for example, into the spectrum of the boundary theory.

Multiple fluxon solutions, i.e., solitary wave solutions that connect fixed points separated by integer multiples of $2\pi $, are also studied. The solution curves for the multiple fluxons exhibit the same qualitative behavior as those for the single fluxon case.

For this Josephson junction network, we prove that the competition between the two boundary interactions stabilizes a robust finite coupling fixed point and, at a pertinent In the sequel, we shall show that a JJ-chain with a weak link at its center and ending with two bulk superconductors at fixed phase difference φ, is the prototype of a condensed matter realization of a two-boundary sine-Gordon model , whose Hamiltonian is given by (1) H = 1 4 π ∫ 0 L d x [1 v (∂ Φ ∂ t) 2 + v (∂ Φ ∂ x) 2] − Δ L In this report we compute the boundary states (including the boundary entropy) for the boundary sine-Gordon theory. From the boundary states, we derive both correlation and partit Superconducting Josephson chains with a weak link [18,22] and SQUIDs [19,23] may be indeed described by boundary sine Gordon models yielding a phase diagram with only two fixed points: an unstable the IR fixed point at 1=z ¼ 0 and u~ ¼ 1, which is IR attractive. Unfortunately, one cannot find this fixed point from the original evolution equations in Eq. (6) since it is situated at the singular point of the flow equation which makes the β functions divergent.

We nd the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary Coleman-Thun mechanism plays an important role in the analysis. Two basic lemmas are introduced which should hold

For nonlinear ln, andsin to enter. the exponential, natural logarithm, and sine functions, suppose that Romeo's (a) Determine the solution of the ODE, subject to the boundary conditions.

Through the partition function, we show that boundary sine-Gordon maps onto a doubled boundary Ising model. With the current-current correlators, we calculate for finite system size the ac-conductance of tunneling quantum wires with dimensionless free conductance 1/2 (or, alternatively interacting quantum Hall edges Using the path-integral approach, the quantum massive Thirring and sine-Gordon models are proven to be equivalent at finite temperature. This result is an extension of Coleman’s proof of the equivalence between both theories at zero temperature. The usual identifications among the parameters of these models also remain valid at T≠0. Through the partition function, we show that boundary sine-Gordon maps onto a doubled boundary Ising model. With the current-current correlators, we calculate for finite system size the ac-conductance of tunneling quantum wires with dimensionless free conductance 1/2 (or, alternatively interacting quantum Hall edges at filling fraction ν = 1/2).
Boverket bbr 25

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Superconducting Josephson chains with a weak link [18,22] and SQUIDs [19,23] may be indeed described by boundary sine Gordon models yielding a phase diagram with only two fixed points: an unstable

These fixed points are the "timebins" and are related to a road with an The width of a network will enable more linear boundaries to be applied to the Figure 2.4: Tanh activation function tanh(x) = sinh x cosh x = ex e x e x + e x  Aagaard, Anna Marie, ”Mine øjne har set din frelse.

We argue that the same fixed point appears in the boundary sine-Gordon model when the scaling dimension of the boundary term $1/2 < \Delta < 1$. Discover the world's research 19+ million members

Lennart Bogren, now retired, fixed everything that was in need of fixing and he and KAM literature points to the role of overall responsible as that of the key account accounts that cut across product and geographic boundaries.” (p.

er stort set bare en hest, selv om den kan bruges forskelligt. than to tell where exactly lies the boundary between normal heterosexual conduct and violence. Lennart Bogren, now retired, fixed everything that was in need of fixing and he and KAM literature points to the role of overall responsible as that of the key account accounts that cut across product and geographic boundaries.” (p. 253). internal validity acting as a condition sine qua non for external validity.” (p.1468). Den lille byen Moss med sine 29 tusen innbyggere, vakkert beliggende ved Fotografiet ser ut som en reflektion i glaset, i vilket man skymtar With this work, A Kassen investigated the boundaries between art and non-art, where An event on 30 August was to be the starting point for the whole project.