Relativistic effect of entanglement in fermion-fermion scattering

Fan, Jinbo; Li, Xinfei

doi:10.1103/physrevd.97.016011

Cited by 19 publications

(16 citation statements)

References 29 publications

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“…By choosing this to be positive, we will find that the phenomenological values lie within the admitted region in fig. (6). The other sign is in fact strongly disfavoured as it would rule out the best fit and experimental values.…”

Section: Chiral Perturbation Theorymentioning

confidence: 94%

“…(2.2) This was considered previously in [3][4][5][6][7] but we will differ from this analysis in certain crucial aspects. The main aspect is that unlike [3][4][5][6][7] we will focus on the B-particles at a fixed anglefor instance consider a finite resolution detector at a fixed angle θ D . Say, we have put such a detector at an angle θ D = α, whose explicit measure we will specify later.…”

Section: Density Matrices In → Scatteringmentioning

confidence: 99%

“…Now we exploit the fact that we have chosen y ∈ (−1, 1). Then, in this situation we can use 6) where S = 1 + iM. Then, we have for P g (x),…”

Section: Entanglement Entropymentioning

confidence: 99%

“…The σ → 0 conclusion holds in this case as well, i.e., the entanglement entropy goes to infinity. [3][4][5][6][7] considered certain regularizations to obtain the finite part. As we will see below, the dependence on such regularizations does not arise when we consider relative entropy.…”

Section: Entanglement Entropymentioning

confidence: 99%

“…In the simplest scenario of spin-less scattering, the incoming and outgoing states are specified in terms of the momenta of particles. When one computes entanglement entropy, this entails tracing over momentum states [3][4][5][6][7]. This line of questioning in itself is not novel.…”

Section: Introductionmentioning

confidence: 99%

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Relative entropy in scattering and the S-matrix bootstrap

et al. 2020

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We consider entanglement measures in 2-2 scattering in quantum field theories, focusing on relative entropy which distinguishes two different density matrices. Relative entropy is investigated in several cases which include \phi^4ϕ4 theory, chiral perturbation theory (\chi PTχPT) describing pion scattering and dilaton scattering in type II superstring theory. We derive a high energy bound on the relative entropy using known bounds on the elastic differential cross-sections in massive QFTs. In \chi PTχPT, relative entropy close to threshold has simple expressions in terms of ratios of scattering lengths. Definite sign properties are found for the relative entropy which are over and above the usual positivity of relative entropy in certain cases. We then turn to the recent numerical investigations of the S-matrix bootstrap in the context of pion scattering. By imposing these sign constraints and the \rhoρ resonance, we find restrictions on the allowed S-matrices. By performing hypothesis testing using relative entropy, we isolate two sets of S-matrices living on the boundary which give scattering lengths comparable to experiments but one of which is far from the 1-loop \chi PTχPT Adler zeros. We perform a preliminary analysis to constrain the allowed space further, using ideas involving positivity inside the extended Mandelstam region, and other quantum information theoretic measures based on entanglement in isospin.

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Section: Chiral Perturbation Theorymentioning

confidence: 94%

Section: Density Matrices In → Scatteringmentioning

confidence: 99%

“…Now we exploit the fact that we have chosen y ∈ (−1, 1). Then, in this situation we can use 6) where S = 1 + iM. Then, we have for P g (x),…”

Section: Entanglement Entropymentioning

confidence: 99%

Section: Entanglement Entropymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Relative entropy in scattering and the S-matrix bootstrap

et al. 2020

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On the infrared divergence and global colour in $$ \mathcal{N} $$ = 4 Yang-Mills theory

Ding

Karczmarek

Semenoff

2020

J. High Energ. Phys.

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The $$ \mathcal{N} $$ N = 4 superconformal Yang-Mills theory on flat four-dimensional Minkowski space is a de-confined gauge theory in the sense that the string tension for fundamental representation coloured quarks vanishes. In fact, static fundamental representation quarks which lie in certain half-BPS super-multiplets do not interact at all. An interesting question asks whether such quarks would carry a well-defined global colour charge which, when the gauge is fixed, should have the status of an internal symmetry. We shall present a simple paradigmatic model which suggests that the answer to this question lies in the way in which infrared divergences are dealt with.

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Entanglement in flavored scalar scattering

Kowalska,

Sessolo

2024

J. High Energ. Phys.

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We investigate quantum entanglement in high-energy 2 → 2 scalar scattering, where the scalars are characterized by an internal flavor quantum number acting like a qubit. Working at the 1-loop order in perturbation theory, we build the final-state density matrix as a function of the scattering amplitudes connecting the initial to the outgoing state. In this construction, the unitarity of the S-matrix is guaranteed at the required order by the optical theorem. We consider the post-scattering entanglement between the momentum and flavor degrees of freedom of the final-state particles, as well as the entanglement of the two-qubit flavor subsystem. In each case we identify the couplings of the scalar potential that can generate, destroy, or transfer entanglement between different bipartite subspaces of the Hilbert space.

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Relativistic effect of entanglement in fermion-fermion scattering

Cited by 19 publications

References 29 publications

Relative entropy in scattering and the S-matrix bootstrap

Relative entropy in scattering and the S-matrix bootstrap

On the infrared divergence and global colour in $$ \mathcal{N} $$ = 4 Yang-Mills theory

Entanglement in flavored scalar scattering

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