I will discuss the origin of the proton mass from the Hamiltonian and gravitational form factor formulations. After examining the mass decomposition in the stress-energy-momentum tensor, it is found that the glue part of the trace anomaly can be identified as the vacuum energy from the glue condensate and gives a CONSTANT restoring pressure which balances that from the traceless part of the...

In the past years, the light-front holographic Schrodinger Equation, of Brodsky and de Teramond, has played a role in hadronic physics analogous to that of the ordinary Schrodinger Equation in atomic physics. Its confining potential, uniquely fixed by the underlying conformal symmetry and a holographic mapping to anti-de Sitter spacetime, contains a universal emerging mass scale that governs...

Spectra with full towers of levels are expected due to the quantization of the string vibrations.

We study a spectrum of flux tubes with static quark and antiquark sources for pure gauge SU(3) lattice QCD in 3+1 dimensions up to a significant number of excitations.

To go high in the spectrum, we specialize in he most symmetric case, the Σ+𝑔, use a large set of operators, solve the...

We study two important properties of 2+1D QCD, namely confinement and Pseudoscalar glueball spectrum, using holographic approach. The confined state of the bounded quark-antiquark pair occurs in the self-coupling dominated nonperturbative regime, where the free gluons form the bound states, known as glueballs. The gauge theory corresponding to low energy decoupled geometry of isotropic...

Quarkonia are well described by the Schrödinger equation, with a linear confining potential that agrees with lattice QCD. For QED atoms the classical $-α/r$ potential is determined by Gauss’ law. Taking the similarity with QED at face value the confinement scale of QCD should be given by a boundary condition on Gauss’ law.

Temporal gauge $(A^0=0)$ is well suited for bound states defined at...

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the infrared behavior of the gluon propagators at $T\simeq T_c$ in the Landau-gauge $SU(3)$ lattice gauge theory.

We find that a very significant correlation of the real part of the Polyakov loop with the asymmetry as well as with the longitudinal propagator makes it...

The quantized vortices in superfluid confined phase may transform the large orbital momentum generated in heavy-ion collisions to the spin of baryons in the vortex core. The effect emerges only at some threshold angular velocity providing the qualitative explanation for the recent low energy data. The formation of vortex rings is considered as a mechanism of relation between local and global...

We proposed to utilize chiral anomaly [Ref. 1] for the designs of qubits potentially capable of operating at THz frequency and at room temperature. The proposed chiral qubit [Ref. 2] is a microscopic-scale ring made of a chiral semimetal, with the |0⟩ and |1⟩ states corresponding to the symmetric and antisymmetric superpositions of chiral currents circulating along the ring clockwise and...

In quantum electrodynamics with charged chiral fermions, a background

electric field is the source of the chiral anomaly that can manifest

itself through the creation of a chirally imbalanced state of

fermions. This chiral state is realized through the production of

entangled pairs of right-moving fermions and left-moving antifermions

(or viceversa, depending on the orientation of the...

The Casimir energy and profile of the QCD flux-tube are discussed within the framework of Lüscher-Weisz (LW) string action with two boundary terms. We perform our numerical simulations on the 4-dim pure SU(3) Yang-Mills lattice gauge theory at finite temperature. The static quark-antiquark ($Q\bar{Q}$) potential is calculated using link-integrated Polyakov loop correlators. In general, we...

In this work, we analyzed a recent proposal to detect SU(N) continuum Yang-Mills sectors labeled by center vortices, inspired by Laplacian-type center gauges in the lattice. Initially, after the introduction of appropriate external sources, we obtained a rich set of sector-dependent Ward identities, which can be used to control the form of the divergences. Next, we were able to show the...

We study the quark-gluon vertex in the limit of vanishing gluon momentum using lattice QCD with 2 flavors of O(a) improved Wilson fermions, for several lattice spacings and quark masses. We fi?nd that all three form factors in this kinematics have a signi?cant infrared strength, and

that both the leading form factor ?1, multiplying the tree-level vertex structure, and the scalar,

chiral...

We discuss vortex solutions in the non-Hermitian parity-time-symmetric relativistic model with two interacting scalar complex fields. In the London limit, the vortex singularities in different condensates experience dissipative dynamics unless they overlap. At finite quartic couplings, the vortices appear in the PT-symmetric regions with broken U(1) symmetry. We find the phase diagram of the...

Statistical models are a powerful tool for investigation of complex system's behaviour. Most of the models considered in the literature are defined on regular lattices with nearest neighbour interactions. The models with nonlocal interaction kernels have been less studied. In our study we investigate an example of such a model - the nonlocal $q$-color Potts model on a random $d=2$ lattice....

The broken inversion symmetry of underlying crystals of non-centrosymmetric superconductors gives rise to new nontrivial phenomena, such as magnetoelectric effects and helical phases. We study non-centrosymmetric superconductor using the Ginzburg-Landau effective model supplemented with a parity-odd Lifshitz term. We show that these parity-odd superconductors possess knotted solitons in a...

Symmetry is a key concept in physics. Some symmetries exist however only in the classical world and can not be realized in the quantum theory. When this happens we speak of a (quantum) anomaly. The most prominent examples are the triangle anomalies arising the quantum field theory of chiral fermions. In particle physics they explain the short lifetime of the neutral pion, give rise to...

The anomalous currents of two and three-flavor chiral nuclear matter in the presence of chiral imbalance are computed, using recently developed methods based on differential geometry techniques exploiting generalized transgression, which facilitates the evaluation of both the equilibrium partition function and the covariant currents. The constitutive relations for both the broken and unbroken...

Suspended graphene provides an example of strongly correlated chiral fermions in 2+1D, and the logarithmic renormalization of the Fermi velocity in the infrared limit is one of the most prominent consequences of electron-electron interaction. For the first time, we could directly reproduce this effect in fully non-perturbative Quantum Monte Carlo (QMC) calculations using as large as 102x102...

It depends: While we find within holography that the lifetime of the magnetic field for collider energies like the ones achieved at RHIC is long enough to build up the chiral magnetic current, the lifetime of the magnetic field at LHC seems to be too short. We study the real time evolution of the chiral magnetic effect out-of-equilibrium in strongly coupled holographic gauge theories. We...

It is known since long that hydrodynamic flow in the directions of an external gravitational force and gradient of temperature are related to each other. We consider generalizations to the cases of higher orders in hydrodynamic expansion and/or to higher orders in acceleration. We demonstrate in particular that the vortical effect in presence of gravity is reproduced via the equivalence...