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We consider various asymptotic scaling limits $N\to\infty$ for the $2N$ complex eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensemble. These are known to be integrable, forming Pfaffian point…

Probability · Mathematics 2022-01-26 Gernot Akemann , Sung-Soo Byun , Nam-Gyu Kang

We study the universal scaling behavior of the entanglement entropy of critical theories in $2+1$ dimensions. We specially consider two fermionic scale-invariant models, free massless Dirac fermions and a model of fermions with quadratic…

Strongly Correlated Electrons · Physics 2015-02-24 Xiao Chen , Gil Young Cho , Thomas Faulkner , Eduardo Fradkin

We analyze the $\mathcal{N}=1$ supersymmetric Wess-Zumino model dimensionally reduced to the $\mathcal{N}=2$ supersymmetric model in three Euclidean dimensions. As in the original model in four dimensions and the $\mathcal{N}=(2,2)$ model…

High Energy Physics - Theory · Physics 2018-11-21 Polina Feldmann , Andreas Wipf , Luca Zambelli

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

We consider a special double scaling limit, recently introduced by two of the authors, combining weak coupling and large imaginary twist, for the $\gamma$-twisted $\mathcal{N}=4$ SYM theory. We also establish the analogous limit for ABJM…

High Energy Physics - Theory · Physics 2018-03-13 Joao Caetano , Omer Gurdogan , Vladimir Kazakov

Smeared null energy has been shown to be bounded from below for free minimally coupled quantum field theories. This is not the case for conformally coupled free bosonic theories where states of unbounded null energy can be constructed by…

High Energy Physics - Theory · Physics 2024-12-17 Jackson R. Fliss , Ben Freivogel , Eleni-Alexandra Kontou , Diego Pardo Santos

We study the scaling behavior of physical observables in strongly-flavored asymptotically free gauge theories, such as many-flavor QCD. Such theories approach a quantum critical point when the number of fermion flavors is increased. It is…

High Energy Physics - Phenomenology · Physics 2011-09-29 Jens Braun , Christian S. Fischer , Holger Gies

Scattering amplitudes in gauge theories can be calculated either by bulk theories in 4d Minkowski space-time($Mink_4$), or perceived as the correlation functions in celestial CFT(CCFT) living in the celestial sphere at null infinity, where…

High Energy Physics - Theory · Physics 2024-02-23 Ming Yu

We have studied numerically the Lee-Yang singularities of the four dimensional Ising model at criticality, which is believed to be in the same universality class as the $\phi_4^4$ scalar field theory. We have focused in the numerical…

Statistical Mechanics · Physics 2024-10-02 J. J. Ruiz-Lorenzo

We solve analytically the renormalization-group equation for the potential of the O(N)-symmetric scalar theory in the large-N limit and in dimensions 2<d<4, in order to look for nonperturbative fixed points that were found numerically in a…

Statistical Mechanics · Physics 2018-03-21 A. Katsis , N. Tetradis

We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal…

High Energy Physics - Theory · Physics 2017-05-24 Ferdinando Gliozzi , Andrea L. Guerrieri , Anastasios C. Petkou , Congkao Wen

In this paper, we show how the finite formulation of QFT based on Callan-Symanzik equations can be generalised to the case of non-renormalizable theories. We derive an equation for effective action for an arbitrary single scalar field…

High Energy Physics - Theory · Physics 2025-04-10 Y. Ageeva , P. Petrov , M. Shaposhnikov

We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_\mu$ and $b_\mu$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Edilberto O. Silva

I show that under certain conditions it is possible to define consistent irrelevant deformations of interacting conformal field theories. The deformations are finite or have a unique running scale ("quasi-finite"). They are made of an…

High Energy Physics - Theory · Physics 2009-11-10 Damiano Anselmi

We present the first rigorous construction of the QFT Thirring model, for any value of the mass, in a functional integral approach, by proving that a set of Grassmann integrals converges, as the cutoffs are removed, to a set of Schwinger…

High Energy Physics - Theory · Physics 2010-01-29 G. Benfatto , P. Falco , V. Mastropietro

We systematically explore the space of renormalization group flows of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) triggered by relevant deformations, as well as by coupling to free chiral multiplets with relevant…

High Energy Physics - Theory · Physics 2024-08-23 Minseok Cho , Kazunobu Maruyoshi , Emily Nardoni , Jaewon Song

In this paper, we identify the scaling limit of the fermionic discrete Gaussian free field (fDGFF) as a logarithmic conformal field theory (CFT) in two dimensions. We first establish a one-to-one correspondence between the space of local…

Mathematical Physics · Physics 2025-11-26 David Adame-Carrillo , Wioletta M. Ruszel

Celestial CFT$_d$ is the putative dual of quantum gravity in asymptotically flat $(d+2)$ dimensional space time. We argue that a class of Celestial CFT$_d$ can be engineered via AdS$_{d+1}$-CFT$_d$ correspondence. Our argument is based on…

High Energy Physics - Theory · Physics 2025-06-19 Shamik Banerjee , Nishant Gupta , Sagnik Misra

We study how universality classes of O(N)-symmetric models depend continuously on the dimension d and the number of field components N. We observe, from a renormalization group perspective, how the implications of the…

High Energy Physics - Theory · Physics 2015-03-18 A. Codello , G. D'Odorico

Renormalization group theory does not restrict the from of continuous variation of critical exponents which occurs in presence of a marginal operator. However, the continuous variation of critical exponents, observed in different contexts,…

Statistical Mechanics · Physics 2016-10-28 N. Khan , P. Sarkar , A. Midya , P. Mandal , P. K. Mohanty
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