Two-loop beta functions of the Sine-Gordon model

We recalculate the two-loop beta functions in the two-dimensional Sine-Gordon model in a two-parameter expansion around the asymptotically free point. Our results agree with those of Amit et al., J. Phys. A13 (1980) 585.Comment: 6 pages, LaTeX, some correction

Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion

The boundary thermodynamic Bethe Ansatz (BTBA) equations introduced in [1, 2] to describe the cusp anomalous dimension contain imaginary chemical potentials and singular boundary fugacities, which make its systematic expansion problematic. We propose an alternative formulation based on real chemical potentials and additional source terms. We expand our equations to double wrapping order and find complete agreement with the direct two-loop gauge theory computation of the cusp anomalous dimension.Instituto de Física La Plat

Nonlinear integral equations for finite volume excited state energies of the O(3) and O(4) nonlinear sigma-models

We propose nonlinear integral equations for the finite volume one-particle energies in the O(3) and O(4) nonlinear sigma-models. The equations are written in terms of a finite number of components and are therefore easier to solve numerically than the infinite component excited state TBA equations proposed earlier. Results of numerical calculations based on the nonlinear integral equations and the excited state TBA equations agree within numerical precision.Comment: numerical results adde

Application of Parametric Design and Artificial Intelligence in Energy Analysis of Buildings – A Review

In an era where sustainability and energy efficiency are paramount in architecture, advanced technological tools, and analytical methodologies are restructuring the design and construction of buildings. Energy analysis methods, including parametric modeling and artificial intelligence, offer architects unprecedented capabilities to comprehensively assess and optimize energy performance throughout a building's lifecycle. This paper reviews a wide range of energy analysis methods, including dedicated software tools, in-built applications, parametric tools, and artificial intelligence. It highlights the benefits and limitations of each method, emphasizing model-based methodologies. Dedicated software simplifies energy studies but requires manual data input, limiting flexibility and scalability. In-built applications, such as ArchiCAD or Autodesk Revit, enable automatic energy analysis but rely on detailed models. Parametric tools like Rhinoceros-Grasshopper enable flexible design variations but demand specialized knowledge. Artificial intelligence-driven tools like CoveTool and Autodesk Forma leverage AI algorithms for rapid energy modeling but are still evolving. In this review article, we would like to highlight the importance of energy analysis in building design and the need for architects to learn about new technologies. All these are necessary for a sustainable future

Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion

The boundary thermodynamic Bethe Ansatz (BTBA) equations introduced in [1, 2] to describe the cusp anomalous dimension contain imaginary chemical potentials and singular boundary fugacities, which make its systematic expansion problematic. We propose an alternative formulation based on real chemical potentials and additional source terms. We expand our equations to double wrapping order and find complete agreement with the direct two-loop gauge theory computation of the cusp anomalous dimension.Instituto de Física La Plat

Hybrid-NLIE for the AdS/CFT spectral problem

Hybrid-NLIE equations, an alternative finite NLIE description for the spectral problem of the super sigma model of AdS/CFT and its gamma-deformations are derived by replacing the semi-infinite SU(2) and SU(4) parts of the AdS/CFT TBA equations by a few appropriately chosen complex NLIE variables, which are coupled among themselves and to the Y-functions associated to the remaining central nodes of the TBA diagram. The integral equations are written explicitly for the ground state of the gamma-deformed system. We linearize these NLIE equations, analytically calculate the first correction to the asymptotic solution and find agreement with analogous results coming from the original TBA formalism. Our equations differ substantially from the recently published finite FiNLIE formulation of the spectral problem.Comment: 63 pages, 1 figur