Abstract We analyze the hard scattering amplitude of gravitational form factors (GFFs) hadrons at one-loop, in relation to their conformal field theory (CFT) description, within framework QCD factorization for exclusive processes large momentum transfers. These play an essential role studying quark and gluon angular due Mellin moments Deeply virtual Compton (DVCS) invariant amplitudes. Our analysis is performed using a diffeomorphism approach, applying formalism effective action symmetry...

Abstract Fundamental aspects of chiral anomaly‐driven interactions in conformal field theory (CFT) four spacetime dimensions are discussed. These find application very general contexts, from early universe plasma to topological condensed matter. The key shared characteristics these outlined, specifically addressing the case anomalies, both for vector currents and gravitons. In materials, gravitational anomaly is generated by thermal gradients via (Tolman–Ehrenfest) Luttinger relation. CFT...

We present an analysis of the perturbative realization TTJJ correlator, with two stress energy tensors and conserved currents, using free field theory, integrating out conformal sectors in quantum corrections. This allows to define, around flat space, exact expansion complete anomaly effective action - up 4-point functions whose predictions can be compared against those induced action. The latter is a variational solution constraint at d=4 form nonlocal Wess-Zumino renormalization procedure...

We investigate the gravitational anomaly vertex <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mo stretchy="false">⟨</a:mo><a:mi>T</a:mi><a:mi>T</a:mi><a:msub><a:mi>J</a:mi><a:mn>5</a:mn></a:msub><a:mo stretchy="false">⟩</a:mo></a:math> (graviton—graviton—axial current) under conditions of finite density and temperature. Through a direct analysis perturbative contributions, we demonstrate that neither temperature nor fermion affects chiral anomaly. These results...

We investigate the general structure of chiral anomaly <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>A</a:mi><a:mi>V</a:mi><a:mi>V</a:mi><a:mo>/</a:mo><a:mi>A</a:mi><a:mi>A</a:mi><a:mi>A</a:mi></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mo stretchy="false">(</c:mo><c:mi>L</c:mi><c:mi>L</c:mi><c:mi>L</c:mi><c:mo>,</c:mo><c:mi>R</c:mi><c:mi>R</c:mi><c:mi>R</c:mi><c:mo stretchy="false">)</c:mo></c:math> vertices, in...

We analyze the hard scattering amplitude of gravitational form factors (GFFs) hadrons within QCD factorization at large momentum transfers, focusing on their conformal field theory (CFT) description. These are key to studying quark and gluon angular in hadrons, connected Mellin moments Deeply Virtual Compton Scattering (DVCS). The analysis uses diffeomorphism invariance symmetry space. A non-Abelian TJJ 3-point function O ( α s 2 ) reveals a dilaton interaction t -channel. present...

Conformal back-reaction generates cosmological models where the trace anomaly reflects breaking of Weyl invariance. Analyzing these actions yields a dynamic approach to dark energy through anomaly-induced (AIAs), that are variational solutions functional constraint. Expanded around Minkowski space, they produce semiclassical correlators subject hierarchical anomalous Ward identities, tied conformal symmetry and diffeomorphism We focus on comparing hierarchy specific 4-point function,...

We analyze the hard scattering amplitude of gravitational form factors (GFFs) hadrons at one-loop, in relation to their conformal field theory (CFT) description, within framework QCD factorization for exclusive processes large momentum transfers. These play an essential role studying quark and gluon angular due Mellin moments Deeply Virtual Compton Scattering (DVCS) invariant amplitudes. Our analysis is performed using a diffeomorphism approach, applying formalism effective action symmetry...

The backreaction of a conformal matter sector and its associated anomaly on gravity can be systematically studied using the formalism effective action. This action, defined precisely in flat spacetime within ordinary quantum field theory, analyzed perturbatively terms external graviton insertions. expansion coefficients correspond to correlation functions stress-energy tensor, which are renormalized through two key counterterms: square Weyl tensor $(C^2)$ Gauss-Bonnet term $(E)$. Anomalous...

A nonlocal version of Einstein-Gauss Bonnet (EGB) gravity can be generated by a procedure that follows closely the steps derivation conformal anomaly effective action. The action is obtained using Weyl decomposition metric, with factor removed finite renormalization topological term. We outline mains in this action, stressing on analogies and differences respect to ordinary $4d$ EGB theory formulated as special dilaton gravity. These formulations allow systematic investigation $R\Box^{-1}$...

We investigate the general structure of chiral anomaly $AVV/AAA$ and $(LLL, RRR)$ vertices, in presence chemical potentials perturbation theory. The study finds application anomalous transport, whenever chirally unbalanced matter is present, with propagating external currents that are classically conserved. Examples topological materials magnetic effect plasma state early universe. classify minimal number form factors $AVV$ parameterization, by a complete analysis Schouten identities heat...

We discuss fundamental aspects of chiral anomaly-driven interactions in conformal field theory (CFT) four spacetime dimensions. They find application very general contexts, from early universe plasma to topological condensed matter. outline the key shared characteristics these interactions, specifically addressing case anomalies, both for vector currents and gravitons. In materials, gravitational anomaly is generated by thermal gradients via (Tolman-Ehrenfest) Luttinger relation. CFT...

We investigate the gravitational anomaly vertex $\langle TTJ_5\rangle$ (graviton - graviton axial current) under conditions of finite density and temperature. Through a direct analysis perturbative contributions, we demonstrate that neither temperature nor fermion affects chiral anomaly. These results find application in several contexts, from topological materials to early universe plasma. They affect decay any axion or axion-like particle into waves, very dense hot environments.

Conformal back-reaction generates cosmological models where the trace anomaly reflects breaking of Weyl invariance. Analyzing these actions yields a dynamic approach to dark energy through anomaly-induced (AIAs), that are variational solutions functional constraint. Expanded around Minkowski space, they produce semiclassical correlators subject hierarchical anomalous Ward identities, tied conformal symmetry and diffeomorphism We focus on comparing hierarchy specific 4-point function,...

We analyze the hard scattering amplitude of gravitational form factors (GFFs) hadrons within QCD factorization at large momentum transfers, focusing on their conformal field theory (CFT) description. These are key to studying quark and gluon angular in hadrons, connected Mellin moments Deeply Virtual Compton Scattering (DVCS). The analysis uses diffeomorphism invariance symmetry space. A non-Abelian $TJJ$ 3-point function $O(\alpha_s^2)$ reveals a dilaton interaction $t$-channel. present...

The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition the dimensionless coupling Gauss-Bonnet term, has been extensively discussed in cosmological context. term is added as quadratic contribution curvature tensor to Einstein-Hilbert action, originating theories "Einstein Gauss-Bonnet" (EGB) type. These studies are interlaced with those conformal anomaly effective action. We review some basic results concerning structure these actions, their constraints around...

A nonlocal version of Einstein-Gauss Bonnet (EGB) gravity can be generated by a procedure that follows closely the steps derivation conformal anomaly effective action. The action is obtained using Weyl decomposition metric, with factor removed finite renormalization topological term. We outline mains in this action, stressing on analogies and differences respect to ordinary $4d$ EGB theory formulated as special dilaton gravity. These formulations allow systematic investigation $R\Box^{-1}$...

The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition the dimensionless coupling Gauss-Bonnet term, has been extensively discussed in cosmological context. term is added as quadratic contribution curvature tensor to Einstein-Hilbert action, originating theories "Einstein Gauss-Bonnet" (EGB) type. These studies are interlaced with those conformal anomaly effective action. We review some basic results concerning structure these actions, their constraints around...

Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) Electrodynamics (QED) are invariant under conformal transformations, this is broken by quantum corrections. The signature breaking encoded in presence massless poles correlators involving stress-energy tensors. We present a general study correlation functions $\langle TJJ\rangle$ TTJJ\rangle$ field...

Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) Electrodynamics (QED) are invariant under conformal transformations, this is broken by quantum corrections. The signature breaking encoded in presence massless poles correlators involving stress-energy tensors. We present a general study correlation functions $\langle TJJ\rangle$ TTJJ\rangle$ field...

We present an analysis of the perturbative realization $TTJJ$ correlator, with two stress energy tensors and conserved currents, using free field theory realizations, integrating out conformal sectors in quantum corrections. This allows defining, around flat space, exact expansion complete anomaly effective action - up to 4-point functions whose predictions can be compared against those induced action. The latter is a variational solution constraint at $d=4$ form nonlocal Wess-Zumino...