Formal QFT Digest

Algebraic QFT on Curved Spacetime

• 🔥 Why Hadamard states?: Examines the Hadamard condition as necessary and sufficient for well-defined operator...

Quick Recap

• A post covered heavy quarkonium spectrum and decay constants via AdS/QCD from the AdS/CFT correspondence.
• Content on testing...

Lorentzian regularization handles power-law degeneration through a simple ε limit and remains standard in quantum field theory.

AdS/QCD models rooted in the AdS/CFT correspondence connect strongly coupled gauge theories to weakly coupled gravitational descriptions, enabling computation of heavy quarkonium spectra and decay constants.

CFT analysis via AdS/CFT shows that exactly marginal operators on conformal manifolds can be reconstructed from displacement operators at conformal...

The Schwinger–Keldysh path integral formalism models the quantum subsystem's evolution in tests of classical–quantum gravity coupling via geodesic deviation. This cleanly separates quantum and classical dynamics for such hybrid models.

The Polyakov path integral for null bosonic strings requires every local gauge redundancy to be removed from the functional integral. This principle ensures the measure is defined only over physically distinct configurations.

A pre-quantum dynamics framework aims to derive the Standard Model coupled to gravity as an effective theory, with both QFT and classical general relativity arising in suitable limits.

Twisted partition functions yield gauge-invariant criteria for monopole and center-vortex condensation in (3+1)d gauge theories, directly probing their role in confinement.

A shared Hopf Frobenius algebra structure extends ZX calculus diagrammatics to two-dimensional Yang-Mills theory via two-dimensional TQFT,...

A new axiomatic no-go theorem proves that Poincaré covariance conflicts with the localization and phase-space conditions required for classical...

The path integral formalism underpins the derivation of β-functions from large-time effective kinetics for quantum (2+p) systems, with the time...

A detailed comparison of renormalization schemes and renormalization-group methods is presented for the two-flavor quark-meson-diquark model. This...

Algebraic QFT and Microcausality

• 🔥 No-Signaling Criterion: Introduces a minimal operational criterion for no-signaling that implies...

• Wilsonian RG iterations identify scale as the radial coordinate of emergent AdS_{d+1} geometry
• Hamiltonian RG via VAPOR yields...

Recent preprints reveal complementary roles for tau functions and Heun equations in spectral problems.

• Quantized mirror curves yield Baxter...

A proposed formalism supplies a minimal operational criterion that directly relates no-signaling to microcausality, yielding an explicit proof that the former implies the latter in quantum field theory.

A thermodynamic derivation of relic abundance employs the worldline path integral formalism, preserving explicit spacetime trajectories during transitions between asymptotic states.

This work develops the semi-classical limit of quantum gravity on corners via the path-integral formulation, directly extending the quantum-mechanical framework to gravitational settings.

New analysis determines the phase diagram and critical behavior of the single-flavor Gross-Neveu-Wilson model. This work directly addresses non-perturbative aspects central to lattice QFT.