Results 51 to 60 of about 1,791 (221)

Sphere free energy of scalar field theories with cubic interactions

Journal of High Energy Physics
The dimensional continuation approach to calculating the free energy of d-dimensional Euclidean CFT on the round sphere S d has been used to develop its 4 – ϵ expansion for a number of well-known non-supersymmetric theories, such as the O(N) model.
Simone Giombi, Elizabeth Himwich, Andrei Katsevich, Igor Klebanov, Zimo Sun   +4 more
doaj   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Exact result in N $$ \mathcal{N} $$ = 4 SYM theory: generalised double-logarithmic equation

Journal of High Energy Physics, 2022
We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous dimension of twist-2 operators in the planar N $$ \mathcal{N} $$ = 4 SYM theory.
V. N. Velizhanin
doaj   +1 more source

SYMMETRY-PRESERVING LOOP REGULARIZATION AND RENORMALIZATION OF QFTs [PDF]

Modern Physics Letters A, 2004
A new symmetry-preserving loop regularization method proposed in Ref. 1 is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of irreducible loop integrals.
openaire   +3 more sources

The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree

Contributions to Plasma Physics, EarlyView.
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke, Chengliang Lin, W. Ebeling, H. Reinholz   +3 more
wiley   +1 more source

On the equivalence between implicit regularization and constrained differential renormalization.

, 2008
Constrained differential renormalization (CDR) and the constrained version of implicit regularization are two regularization independent techniques that do not rely on dimensional continuation of the space-time.
Fernandes, José Luiz Acebal, Pontes, Carlos Renato, Scarpelli, Antônio Paulo Baêta, Nemes, Maria Carolina, Sampaio, Marcos Donizeti Rodrigues   +4 more
core   +1 more source

Renormalization of the classical massless scalar field theory with quartic self-interaction [PDF]

, 2013
The classical theory of the massless scalar field with negative quartic selfinteraction shows asymptotic freedom and confinement. These findings might help in understanding evidence, gathered from experiment and lattice simulations of quantum ...
Schindler, Toni
core   +1 more source

Low-energy theorem revisited and OPE in massless QCD

Journal of High Energy Physics
We revisit a low-energy theorem (LET) of NSVZ type in SU(N) QCD with N f massless quarks derived in [1] by implementing it in dimensional regularization. The LET relates n-point correlators in the l.h.s.
Marco Bochicchio, Elisabetta Pallante
doaj   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

Laser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri, Bruno Miranda, Silvia Romano, Gianluigi Zito   +3 more
wiley   +1 more source

Perturbative renormalization of the lattice regularized ϕ44 with flow equations [PDF]

Journal of Mathematical Physics, 2020
The flow equations of the renormalization group allow one to analyze the perturbative n-point functions of renormalizable quantum field theories. Rigorous bounds implying renormalizability permit one to control large momentum behavior, infrared singularities, and large order behavior in a number of loops and a number of arguments n.
Majdouline Borji, Christoph Kopper
openaire   +4 more sources