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We study two- and three-point correlation functions of chiral primary half-BPS operators in four-dimensional $\mathcal{N}=2$ superconformal circular, cyclic symmetric quiver theories. Using supersymmetric localization, these functions can…

High Energy Physics - Theory · Physics 2025-01-30 Gregory P. Korchemsky , Alessandro Testa

We study the N = 4 theory at weak coupling, on a three sphere in the grand canonical ensemble with R symmetry chemical potentials. We focus attention on near critical values for the chemical potentials, above which the classical theory has…

High Energy Physics - Theory · Physics 2014-11-18 Timothy J. Hollowood , S. Prem Kumar , Asad Naqvi , Philip Wild

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions…

High Energy Physics - Theory · Physics 2009-10-31 G. Arutyunov , S. Frolov , A. C. Petkou

We generalize the notion of an asymptotic weak coupling expansion about an exactly solvable model in quantum mechanics and quantum field theory to an all positive value coupling convergent expansion. This is done by rescaling the variables…

High Energy Physics - Theory · Physics 2019-03-08 Erfan Shalchian

We compute four-point scattering amplitudes in $\mathcal{N}=2$ SCQCD with general external matter configurations using $\mathcal{N}=1$ superspace Feynman diagrams, at one loop in the general case and up to two loops in the fundamental…

High Energy Physics - Theory · Physics 2015-01-22 Marta Leoni , Andrea Mauri , Alberto Santambrogio

We point out that the recently developed strong-coupling theory enables us to calculate the three main critical exponents nu, eta, omega, from the knowledge of only the two renormalization constants Z_phi of wave function and Z_m of mass.…

Condensed Matter · Physics 2009-10-31 Hagen Kleinert

Strong-coupling analysis of two-dimensional chiral models, extended to 15th order, allows for the identification of a scaling region where known continuum results are reproduced with great accuracy, and asymptotic scaling predictions are…

High Energy Physics - Lattice · Physics 2009-12-30 Massimo Campostrini , Paolo Rossi , Ettore Vicari

Effective potential for scalar $\lambda\phi^4$ theory is obtained using the exact renormalization group method which includes both the usual one-loop contribution as well as the dominant higher loop effects. Our numerical calculation…

High Energy Physics - Theory · Physics 2009-09-25 Sen-Ben Liao , Chengqian Gong

We study extremal correlation functions of chiral primary operators in the large-N SU(N) ${\cal N} = 2$ superconformal QCD theory and present new results based on supersymmetric localization. We discuss extensively the basis-independent…

High Energy Physics - Theory · Physics 2017-03-08 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas , Gideon Vos

In this paper, we study O(2N)-symmetric $\phi^4$-theory at finite temperature and density using the 2PI-1/N expansion. As specific examples, we consider pion condensation at finite isospin chemical potential and kaon condensation at finite…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens O. Andersen

The large-n expansion is applied to the calculation of thermal critical exponents describing the critical behavior of spatially anisotropic d-dimensional systems at m-axial Lifshitz points. We derive the leading nontrivial 1/n correction…

High Energy Physics - Theory · Physics 2012-05-07 M. A. Shpot , Yu. M. Pis'mak

We derive the four-dimensional integrand of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory at two loops. In our integrand…

High Energy Physics - Theory · Physics 2023-06-26 Tushar Gopalka , Enrico Herrmann

We formally extend the CFT techniques introduced in arXiv:1505.00963, to $\phi^{\frac{2d_0}{d_0-2}}$ theory in $d=d_0-\epsilon$ dimensions and use it to compute anomalous dimensions near $d_0=3, 4$ in a unified manner. We also do a similar…

High Energy Physics - Theory · Physics 2015-10-23 Pallab Basu , Chethan Krishnan

We include the new, five-loop, O(alpha_s^4) correction into the QCD sum rule used for the s-quark mass determination. The pseudoscalar Borel sum rule is taken as a study case. The OPE for the correlation function with N^4LO, O(alpha_s^4)…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , A. Khodjamirian

We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to $\phi^3$ theory and compute the $\beta$ function, the wave function anomalous dimension as well as the mass anomalous dimension…

High Energy Physics - Theory · Physics 2021-07-07 M. Borinsky , J. A. Gracey , M. V. Kompaniets , O. Schnetz

We explicitly calculate the one-loop effective potential for the supersymmetric topologically massive gauge theory in four dimensions, where the chiral scalar superfield is directly coupled to the field strength for the gauge spinor…

High Energy Physics - Theory · Physics 2015-04-08 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

Recent work on exact renormalization group flow equations has pointed out the possibility to study critical phenomena in continuous dimension D of space. In an investigation of the O(N) model the dimension N of the fields may be seen as a…

High Energy Physics - Theory · Physics 2007-05-23 H. Ballhausen

The QCD analytic running coupling alpha_{an} which has no nonphysical singularities for all Q^2>0 is considered for the initial perturbation theory approximations up to four loop order. The finiteness of the analytic coupling at zero is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

We present a relativistic procedure for the chiral expansion of the two-pion exchange component of the $NN$ potential, which emphasizes the role of intermediate $\pi N$ subamplitudes. The relationship between power counting in $\pi N$ and…

Nuclear Theory · Physics 2014-11-18 R. Higa , M. R. Robilotta

Inspired by the corresponding problem in QCD, we determine the pressure of massless O(N) scalar field theory up to order g^6 in the weak-coupling expansion, where g^2 denotes the quartic coupling constant. This necessitates the computation…

High Energy Physics - Phenomenology · Physics 2010-10-27 A. Gynther , M. Laine , Y. Schroder , C. Torrero , A. Vuorinen
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