PaperPanorama

HEP Lattice·hep-lat

Mon·Sep 14, 2026

5 papers—0 primary·5 cross-listed

All5Primary0Cross-lists5
  1. 01

    Modeling financial time series with quantum field theory

    Dimitrios Bachtis🇫🇷 · David S. Berman🇬🇧 · Arabella Schelpe🇬🇧

    We use a quantum field theory with inhomogeneous couplings and explicit symmetry-breaking to model an ensemble of financial time series from the SP 500 index. The continuum nature of the theory avoids the inaccuracies that occur in Ising-based models which require a discretization of the time series. We demonstrate this using the example of the 2008 global financial crisis. The quantum field theory is expressive enough to reproduce the higher-order statistics such as the market kurtosis, which can serve as an indicator of possible market shocks. Accurate reproduction of high kurtosis is absent in binarized models. Therefore Ising models, despite being widely employed in econophysics, are incapable of fully representing empirical financial data, a limitation not present in the generalization of the scalar field theory. We then investigate the scaling properties of the machine learning algorithm and extract exponents which govern the behavior of the learned couplings (or weights and biases in ML language) in relation to the number of stocks in the model. Finally, we use our model to forecast the price changes of the AAPL, MSFT, and NVDA stocks. We conclude by discussing how the scalar field theory could be used to build investment strategies and the possible intuitions that the QFT operations of dimensional compactification and renormalization can provide for financial modelling.

    ↳ q-fin.STcond-mat.dis-nncs.CEhep-lat+10 citations
  2. 02

    Emergent Conformal Symmetry on Superfluid Vortices in Two-Color QCD and Pseudoreal Gauge Theories

    Muneto Nitta

    Two-color QCD provides a unique first-principles laboratory for strongly interacting matter at finite baryon density, where a diquark condensate realizes a baryonic superfluid. We investigate the internal physics of its quantized superfluid vortices in the chiral limit. We find that a vortex localizes an exact and normalizable family of pion modes. Remarkably, the bulk Wess--Zumino--Witten (WZW) term induces a quantized WZW term for these modes, driving the vortex theory in the infrared to the WZW conformal field theory with central charge . Thus a strongly coupled conformal theory emerges on a vortex in a nonconformal bulk theory. The mechanism extends to pseudoreal gauge theories, where the corresponding minimal vortex theory flows to , with the level directly encoding the microscopic anomaly coefficient.

    ↳ hep-thhep-lathep-ph
  3. 03

    Radiative corrections to weak interaction processes

    Chien-Yeah Seng

    The search for physics beyond the Standard Model in low-energy weak interaction processes requires a precise knowledge of the Standard Model background at tree- and loop-level. In many such cases, radiative corrections represent one of the major sources of theory uncertainty due to the non-perturbative structures of nucleon or nuclei. In this review, I discuss several modern strategies based on dispersion relation, lattice gauge theory and nuclear many-body calculations to pin down the hadronic and nuclear uncertainties in the radiative corrections to low-energy weak interaction processes such as beta decays and parity-violating electron-nucleus scattering.

    ↳ hep-phhep-exhep-latnucl-ex+1
  4. 04

    Tensor-polarized twist-3 distribution function of spin-1 deuteron

    S. Kumano · Kenshi Kuroki

    We investigate the twist-2 and twist-3 tensor-polarized partonic structures of the spin-1 deuteron. Using the operator product expansion with local operators, we derive a Wandzura-Wilczek (WW)-like twist-2 relation between the tensor-polarized twist-2 quark distribution and the twist-3 distribution , together with a Burkhardt-Cottingham (BC)-like sum rule. The local-operator formalism makes the Lorentz structure and rotational invariance manifest and provides useful constraints on the twist-3 sector. We then use a phenomenological parametrization of the twist-2 distribution , constrained by HERMES data on the deuteron structure function at , to quantitatively estimate the twist-3 distribution within the WW approximation. The resulting has a shape and magnitude comparable to those of , indicating that subleading-twist effects may be relevant for future experiments at relatively low . In this contribution, we summarize the theoretical derivation of the WW-like relation and BC-like sum rule and present a phenomenological estimate of the tensor-polarized twist-3 quark distribution in the deuteron.

    ↳ hep-phhep-exhep-latnucl-ex+1
  5. 05

    Gauge-invariant Higgs mechanism via gradient-flow regularization

    Gunnar S. Bali

    We provide a manifestly gauge-invariant description of the Higgs mechanism in the Standard Model, casting it not as the breaking of a local symmetry, but as a smooth, analytic crossover from a high-temperature symmetric phase to a low-temperature Higgs phase. Taking the vacuum expectation value of a gauge-invariant local scalar operator and constructing composite quasi-particle states from the original fields of the Lagrangian usually introduces contact-term divergences. Previous attempts to circumvent this issue via bilocal operators remain unsatisfactory. Here we demonstrate that the gradient flow at a flow time provides a clean, structurally sound, and Lorentz-covariant regularization that permits a consistent, renormalon-free matching onto the standard scheme at a scale . Beyond its theoretical appeal, this construction clarifies a number of conceptional and practical questions. We demonstrate the utility of this framework at the one-loop level, thereby establishing the foundation for future electroweak precision physics in this approach.

    ↳ hep-phhep-lathep-th

Affiliations

first authorsco-authorsvia INSPIRE