The physical states of a boundary conformal field theory

The path integral of a conformal field theory on a bordered Riemann surface defines a state in a Hilbert space on this boundary. Over the ideal boundary, the Hausdorff dimension may be less than one. The integral representing the flux over the ideal boundary is evaluated through a generalization of the residue theorem. The identification of the state for infinite-genus surfaces with the vacuum state with a perturbative vacuum is distinguished from the Hilbert space on ideal boundaries of nonzero linear measure. This nonperturbative effect is identified as an instanton in a separate quantum theory.

Axion hilltops, Kahler modulus quintessence and the swampland criteria

We study the interplay among extrema of axion potentials, Kahler moduli stabilization and the swampland criteria. We argue that moving away from the minima of nonperturbatively generated axion potentials can lead to a runaway behavior of moduli that govern the couplings in the effective field theory. The proper inclusion of these degrees of freedom resolves the conflict between periodic axion potentials and the gradient de Sitter criterion, without the need to invoke the refined de Sitter criterion. We investigate the possibility of including this runaway direction as a model of quintessence that satisfies the swampland criteria. Using a single nonperturbative effect, the maximum along the axion direction provides such a runaway direction, which is unstable in the axion directions, sensitive to initial conditions and too steep to allow for a Hubble time of expansion without violating the field excursion criterion. Adding a second nonperturbative effect generates a saddle point in the potential satisfying the refined de Sitter criterion, which solves the steepness problem and improves the initial conditions problem although some fine-tuning remains required.

Looking for nonperturbative effects of the electroweak interaction at the LHC

We are considering a possibility for detecting nonperturbative effect in process of top pair production in association with a high [Formula: see text] photon. Starting from previous results on two solutions for a spontaneous generation of an effective interaction of a top pair with a pair of electroweak bosons, we show that a solution with effective cutoff [Formula: see text] is already contradicting to the existing data, while the other one with [Formula: see text] (just the Planck scale) could be reconciled with data and give predictions for process [Formula: see text], which could be effectively checked at the LHC with [Formula: see text]. The confirmation of the predictions would mean a strong support for the existence of nonperturbative effects in the electroweak interaction.

Axions and anomalous U(1)’s

Inspired by recent studies of high-scale decay constant or flavorful QCD axions, we review and clarify their existence in effective string models with anomalous U(1) gauge groups. We find that such models, when coupled to charged scalars getting vacuum expectation values, always have one light axion, whose mass can only come from nonperturbative effects. If the main nonperturbative effect is from QCD, then it becomes a Peccei–Quinn axion candidate for solving the strong CP problem. We then study simple models with universal Green–Schwarz mechanism and only one charged scalar field: in the minimal gaugino condensation case the axion mass is tied to the supersymmetry breaking scale and cannot be light enough, but slightly refined models maintain a massless axion all the way down to the QCD scale. Both kinds of models can be extended to yield intermediate scale axion decay constants. Finally, we gauge flavorful axion models under an anomalous U(1) and discuss the axion couplings which arise.

Analysis of Ds⁎D⁎K⁎ and Ds1D1K⁎ Vertices in Three-Point Sum Rules

In this study, the coupling constants of Ds⁎D⁎K⁎ and Ds1D1K⁎ vertices were determined within the three-point Quantum chromodynamics sum rules method with and without consideration of the SUf(3) symmetry. The coupling constants were calculated for off-shell charm and K⁎ cases. Considering the nonperturbative effect of the correlation function, as the most important contribution, the quark-quark, quark-gluon, and gluon-gluon condensate corrections were estimated and were compared with other predictive methods.

Towards a non-perturbative approach to the Hierarchy problem

In this report, based on [1], we suggest that the hierarchy between the Electroweak (EW) and the Planck scales can emerge due to a nonperturbative effect that relates low-energy and strong-gravity physics. In this mechanism, the EW scale results from an exponential suppression of the Planck scale by an instanton. We illustrate the mechanism in a toy-model example and discuss what features of a theory in the strong-gravity domain would favor its successful implementation.

Generalized relativistic wave equations with intrinsic maximum momentum

We examine the nonperturbative effect of maximum momentum on the relativistic wave equations. In momentum representation, we obtain the exact eigen-energies and wave functions of one-dimensional Klein–Gordon and Dirac equation with linear confining potentials, and the Dirac oscillator. Bound state solutions are only possible when the strength of scalar potential is stronger than vector potential. The energy spectrum of the systems studied is bounded from above, whereby classical characteristics are observed in the uncertainties of position and momentum operators. Also, there is a truncation in the maximum number of bound states that is allowed. Some of these quantum-gravitational features may have future applications.

CDF Wjj ANOMALY AS A NONPERTURBATIVE EFFECT OF THE ELECTROWEAK INTERACTION

The recently reported CDF excess at 120–160 GeV in invariant mass distribution of jet pairs accompanying W-boson1 is tentatively interpreted as a bound state of two W decaying to quark–antiquark pair. Nonperturbative effects of EW interaction obtained by application of Bogoliubov compensation approach lead to such bound state due to existence of anomalous three-boson gauge-invariant effective interaction. The application of this scheme gives satisfactory agreement with existing data without any adjusting parameter but the bound state mass 145 GeV.