Parton transport via transverse and longitudinal scattering in dense media

Qin, Guang You; Majumder, Abhijit

doi:10.1103/physrevc.87.024909

Cited by 37 publications

(32 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is the object of this paper to lay the ground work for such an approach based on pQCD, in particular, we will incorporate power-counting techniques borrowed from Soft-Collinear-EffectiveTheory (SCET) [8][9][10][11] to address the issue. This paper extends the effort started in Refs [12][13][14][15][16][17][18] which systematically extends the next-to-leading twist set up of Refs. [19,20] to a scattering resummed formalism for light and (in this paper) to heavy-flavors.…”

Section: Introductionmentioning

confidence: 61%

“…[19,20] to a scattering resummed formalism for light and (in this paper) to heavy-flavors. While gluon radiation from the heavy-quark will not be considered, the scatterings of the heavy quark will engender both longitudinal and transverse momentum transfer, leading to the simultaneous appearance of transverse diffusion, and longitudinal drag and straggling [14,18]. While similar calculations have appeared for a light quark, the surprise in this case is the importance of longitudinal transfers codified byê to the stimulated off-shellness of the heavy-quark.…”

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

Multiple scattering of heavy quarks in dense matter and the parametric prominence of drag

Abir

Kaur

Majumder³

2014

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

The case of heavy quark propagation in dense extended matter is studied in the multiple scattering formalism of the higher twist energy loss scheme. We consider the case of deep inelastic scattering off a large nucleus. The hard lepton scatters off a heavy quark fluctuation within one of the nucleons. This heavy quark then propagates through the dense medium, multiply scattering off the gluon field of the remaining nucleons in its path. We consider the fictitious process where a heavy quark propagates through the nucleus without radiation. Invoking Soft-Collinear Effective Theory power counting arguments, we consider the case of a "semi-hard" heavy-quark where the mass is of the order of the out-going momentum and larger than the transverse momentum imparted per unit length due to scattering. In this limit, it is found that longitudinal momentum exchanges (quantified by the transport coefficientê) have a comparable effect on the off-shellness of the propagating quark, as the transverse momentum exchanges (quantified byq) which constitute the leading cause of off-shellness for propagating light quarks or gluons. Consequences of this new hierarchy for the propagation of the heavy quark in dense matter are discussed.

show abstract

Section: Introductionmentioning

confidence: 61%

Section: Introductionmentioning

confidence: 97%

Multiple scattering of heavy quarks in dense matter and the parametric prominence of drag

Abir

Kaur

Majumder³

2014

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…The introduction of the parameter λ to represent semi-hard scales as λQ and softer scales as λ 2 Q, is a concept borrowed from soft collinear effective theory (SCET) [33,34]. In what follows, we will retain leading and next-toleading terms in λ power counting, neglecting all terms which scale with λ 2 or a higher power of λ [35]. We have chosen the scaling variable λ in such a way that perturbation theory may be applied down to momentum transfer scales at or above λ 3/2 Q ∼ Λ QCD .…”

Section: A Power Counting and The Small λ Parametermentioning

confidence: 99%

Drag-induced radiative energy loss from semihard heavy quarks

Abir

Majumder

2016

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

The case of gluon bremsstrahlung off a heavy quark in extended nuclear matter is revisited within the higher twist formalism. In particular, the in-medium modification of "semi-hard" heavy quarks is studied, where the momentum of the heavy quark is larger but comparable to the mass of the heavy quark (p M ). In contrast to all prior calculations, where the gluon emission spectrum is entirely controlled by the transverse momentum diffusion parameter (q), both for light and heavy quarks, in this work, we demonstrate that the gluon emission spectrum for a heavy quark (unlike that for flavors) is also sensitive toê, which so far has been used to quantify the amount of light-cone drag experienced by a parton. This mass dependent effect, due to the non-light-like momentum of a semi-hard heavy-quark, leads to an additional energy loss term for heavy-quarks, while resulting in a negligible modification of light flavor (and high energy heavy flavor) loss. This result can be used to estimate the value of this sub-leading non-perturbative jet transport parameter (ê) from heavy flavor suppression in ultra-relativistic heavy-ion collisions.

show abstract

“…In fact, this optimal time is not discussed in Ref. [19], and regime of a small ratio between the endof-the chain coupling constants and the others (unmodulated) suggests it to be considerably long. The scheme is also expensive in terms of infrastructure being usedthe larger magnitude of the chain constituents, the better the fidelity.…”

mentioning

confidence: 99%

“…[19], where the authors demonstrate a highfidelity transfer over chains of spins, each of them largely exceeding the dimension of a transferee. However, their solution uses the original approach of Bose, with nonperiodic evolution, and waiting for "the optimal time" of transfer.…”

mentioning

confidence: 99%

Translating Concepts of State Transfer to Spin-1 Chains

2015

View full text Add to dashboard Cite

State transfer is a well-known routine for various systems of spins-1 2. Still, it is not well studied for chains of spins of larger magnitudes. In this contribution we argue that while perfect state transfer may seem unnatural in spin-1 systems, it is still feasible for arrays of V-type three-level atoms. Tomography of such 1D array is also shown to be possible by acting on one atom from such an array.Secure cryptographic key distribution [1] and quantum computation [2][3][4] are just two of many prospective applications of quantum information processing (QIP). While these possibilities have been intensively explored for ensembles of two-dimensional quantum systems, relatively little work has been done on higher-dimensional elementary subsystems. This seems to be so in spite of the facts that quantum cryptography with larger alphabets may be more robust against noise [5], and that in quantum computing, higher dimensional systems may open the way to more efficient implementation of some protocols or realising multi-valued logics problem. We also like to stress more fundamental features of high-dimensional Hilbert spaces. For example, Kochen-Specker theorem [6] cannot be formulated for qubits, the set of all states has a far more complex structure (which is not fully still recognized).It is hence relevant to study more problems of utilizing higher-dimensional systems, e.g., qutrits -with three distinc levels, as in spin-1, in terms of their usefulness QIP. In this contribution we consider one of the most basic challenges, namely distribution of qutrit states. We want to discuss it in the fashion of transferring a state through a chain of nearest-neighbor coupled spins. This approach was suggested by Bose [7]. In the original proposal, a state to be transferred is initialized at one end of a chain of spins-1 2 coupled by Heisenberg or xx interaction subject to free evolutions, and the strategy is simply to wait until the fidelity of the state of the last spin to the one we uploaded is acceptably high. Such a time is predicted theoretically for the used chain. While later it was shown that Heisenberg interaction (without local magnetic fields) cannot be used to perfectly perform this task [8] in general, for xx interaction it was noticed [9] that in certain subspaces the whole chain can be seen a single large spin, with inter-site coupling acting as a transverse magnetic field. The state of the chain is then rotated, leading to perfect mirroring, i.e., transfer of the information from one end to the other. Then, more general conditions for mirroring were formulated [10,11], and more importantly, it was noticed that one does not need to perform additional actions, such as chain initialization [12], or even remote collaboration [13,14] to achieve perfect fidelity. Also, protocols have been proposed to attain perfect or almost perfect transfer with an arbitrary chain, both with single [15] and double infrastructure [16]. In this context, later results on tomography of such chains gain on importance. Bugrarth and Maruy...

show abstract

Parton transport via transverse and longitudinal scattering in dense media

Cited by 37 publications

References 46 publications

Multiple scattering of heavy quarks in dense matter and the parametric prominence of drag

Multiple scattering of heavy quarks in dense matter and the parametric prominence of drag

Drag-induced radiative energy loss from semihard heavy quarks

Translating Concepts of State Transfer to Spin-1 Chains

Contact Info

Product

Resources

About