The interplay of rotation, external magnetic fields, and quantum fields has become an active topic at the interface of quantum field theory, condensed matter, and high-energy physics. In this contribution, we study the formation of scalar condensates in a rotating frame and, in particular, the emergence of vortex solutions in a charged scalar field. Our analysis is motivated both by...
Effective field theory of composite higher-spin particles is a formidable subject, where preserving the physical number of degrees of freedom in a Lorentz-invariant and parity-even way requires a host of auxiliary fields. They can be chosen to have a rich gauge-symmetry structure, but introducing consistent interactions in such approaches used to be a highly non-trivial task, with Lagrangians...
Inspired by quantum-mechanical Landau method, we propose a new perturbatively exact relation between scattering amplitudes in bosonic theories and vacuum-to-vacuum transition amplitudes in the same theories with vanishingly weak sources on singular backgrounds. We argue that the new relation automatically resums the powers of g*n in perturbative amplitudes of n quanta production, where g is a...
In this talk, I represent a scenario where the nonzero curvature extension of the field space for the charged leptons induces a peculiar force that leads to a simple mechanism for generating the charged lepton flavor violation (CLFV). This novel force corrects the electromagnetic vertex, leading to an effective coupling which is flavor off-diagonal at tree level. Consequently, it yields the...
The leptonic decays of heavy quarkonia are complementary observables to the semileptonic decays of heavy mesons and provide additional insight into the possible lepton flavor universality breaking. These decays are analyzed in the framework of the covariant confined quark model by using a novel approach for the description of the radially excited quarkonia states. It turns out that the...
The Brout-Englert-Higgs (BEH) boson mass evolution in the Standard Model is discussed. The quadratic self-energy divergence in addition to the logarithmic ones due to the renormalization of the scalar BEH boson mass causes the so-called Naturalness problem.
In the report, the off-shell electromagnetic pion form factors in the Bethe-Salpeter formalism are considered. The separable kernel of the first rank quark-antiquark interaction is used to solve the equation analytically. The half-off-shell pion form factors and, which are related to each other by the Ward-Takahashi identity, are calculated. The obtained off-shell form factors as well as...
The connection between Standard Model (SM) particles and light dark matter (DM) can be introduced via spin-0, spin-1, and spin-2 mediators. Moreover, in a mediator mass range from sub-MeV to sub-GeV, fixed-target facilities such as NA64e, LDMX, E137, NA64mu, and M3 can potentially probe such particles of the hidden sector via missing energy signatures that are described by the...
We extend in a simple way the well-known low-energy theorem for an effective Higgs-like scalar-gluon-gluon coupling in QCD including arbitrary number of heavy quarks in addition to the light ones. The application of the extended low-energy theorem leads to a new result: an extraction of the four-loop effective Higgs-gluon-gluon coupling valid for extensions of the Standard Model with...
New aspects of gauge-gravity relation
The relation between four-dimensional $SO(4)$ pure Yang-Mills theory
and the gravity is discussed. The functional integral for Yang-Mills theory is rewritten in terms of the gravity metric and Riemann tensors.
Its peculiar feature is the cosmological term added to the Einstein-Hilbert action. This relation is shown to also provide a simple way to...
We study the formation of composite weekly bound particles with large transverse momentum by means of the coalescence mechanism in high-energy hadron collisions. We find the coalescence coefficient by calculating the corresponding Feynman diagrams near the kinematic boundary, taking into account the coherent nature of the process. In this approximation, we calculate the dependence of the...
The Regge-Gribov model describing interacting pomerons and odderons is proposed with triple reggeon vertices taking into account the negative signature of the odderon. Its simplified version with zero transverse dimensions is first considered. No phase transition occurs in this case at the intercept crossing unity. This simplified mosel is studied without more approximations by numerical...
The hidden-charm strong decays of the exotic charmonium-like state $Y(4230)$, recently reported by the BESIII Collaboration, has been investigated in the framework of the covariant confined quark model. The state $Y$ has been interpreted as a four-quark state with molecular-type interpolating current. We evaluate the hidden-charm decay width of $Y$ into a vector and a scalar, with the latter...
We study the possibility of resonant production of millicharged scalar particles by a timelike ($k^2>0$) electromagnetic wave, which can be experimentally obtained in plasma or in a medium with refractive index $n < 1$ (metamaterial). We show that the classical Klein-Gordon equation for the millicharged scalar field reduces to the Mathieu equation, which has exponentially growing solutions in ...
At the beginning of the 21st century, a new phase of strongly interacting matter, known as the quark-gluon plasma (QGP), was established [1]. To study QGP formation in heavy-ion collisions, the solution of system of relativistic hydrodynamics equations with a specific equation of state (EoS) is typically employed. In light of difficulties for non-zero baryonic potentials within Lattice QCD,...
The talk will review the reconstruction project of the Troitsk Meson Factory (TiMoFey, INR RAS). One of the possible directions of its work is the search for light feebly interacting particles. For this purpose, it is planned to use the proton beams with kinetic energies of 423 MeV and 1300 MeV hitting a graphite target.
The talk will consider the model of the leptophobic B-boson...
The dependence of theoretical predictions for high-energy QED processes on factorization scale and scheme choices is studied. Examples for particular processes of Bhabha scattering, muon decay and electron-positron annihilation are presented.
The nonrelativistic quantum electrodynamics (NRQED) formalism to the nonrelativistic bound state problem is developed. The next-to-leading order corrections ($mα^6$) to nonrelativistic binding energies are derived. The infinities which appear in the bound-state formalism at this order are discussed. We consider how higher-order corrections in the fine structure constant α, including...
In this talk, we will discuss the phenomenon of electron-positron pair production in strong electromagnetic fields and first- and second-order radiative processes. Main focus will be placed on the recent theoretical developments concerning a nonperturbative description of the above effects. We will briefly discuss modern theoretical approaches in quantum electrodynamics with unstable vacuum,...
The probability amplitudes of a photon emission from the vacuum accompanied by a created electron-positron pair or from a single-electron (positron) state in the presence of a constant electric field were considered earlier by Nikishov [Zh. Eksp. Teor. Fiz. 59, 1262 (1970)]. However, these amplitudes present a satisfactory description of the phenomenon of the emission in the case of not so...
The search for $\mathcal{T}$- and $\mathcal{P}$-violating interactions, where $\mathcal{T}$ denotes time-reversal symmetry, and $\mathcal{P}$ denotes spatial parity, has been a central focus in fundamental physics for the past 75 years. Despite substantial progress in improving experimental limits on these interactions, theoretical predictions, even within the Standard Model (SM), remain...
Based on numerical simulation of two-color QCD in lattice regularization, correlations between fluctuations of the quark condensate, the net-quark number density, and the Polyakov loop are estimated. 
For the pion mass $\sim 700$~MeV, there is a significant correlation at temperatures of $200-320$~MeV, which indicates a connection between the dynamics of chiral symmetry restoration and...
Using first-principle numerical simulations, we find a new spatially inhomogeneous phase in rotating gluon plasma. This mixed phase simultaneously contains regions of both confining and deconfining states in thermal equilibrium. The location of the spatial transition between the two phases is determined by the local critical temperature. We measure the local critical temperature as a function...
The Quantum Field Theory methods, related to the M-theory structures, are playing exceptional role in the modern science. They are commonly united in the general Gauge/Gravity correspondence. During the recent years of the related techniques' development, plenty of the general effects and their common features were recovered for the quantum field theories in the critical point, - conformal...
We investigate the properties of SU(3) gluon plasma at high temperature under acceleration using lattice simulations in Rindler spacetime. Our results reveal a spatial crossover transition from confinement to deconfinement opposite to the direction of acceleration, consistent with the Tolman-Ehrenfest (TE) law. Using this law, we renormalize the Polyakov loop in Rindler space. Additionally, we...
A bottom-up soft-wall holographic model is used to capture the non-perturbative dynamics of a composite Higgs sector undergoing a first-order phase transition. Employing a controlled perturbative expansion in the dual 5D theory, we obtain estimations of bubble nucleation rates and other parameters of phase transition. This semi-analytic approach yields a prediction for the resulting...
The report presents a generalization of the Green’s function method for the scattering problem, allowing for the mixing of electromagnetic polarizations upon reflection from planar interfaces with Chern–Simons (CS) boundary layers. The developed approach makes it possible to systematically derive the Casimir-Polder potential for systems with such boundaries.
The formula for the...
In this report we present the results of our study of rotating gluodynamics. In particular, we carry out lattice calculation of total angular momentum of rotating gluodynamics for various temperatures and angular velocities within local thermalization approximation. In this approximation, instead of simulating the full action, we use the action with the coefficients being fixed at some...