1,720,970 research outputs found
Exponential Resummation of QCD at Finite Chemical Potential
No full textA comprehensive study of the QCD phase diagram is one of the challenging and open
problems in high energy physics. Having significant astrophysical implications, this is
also important in constructing the chronological evolution of the universe. With this
aim, this thesis describes the behaviour of thermodynamic observables like pressure and
number density with changing chemical potential µ, through the method of an unbiased
exponential resummation of lower order Taylor series of these observables at a finite µ.
We address the problem of biased estimates, which manifest uncontrollably in exponential
resummation and which become severe in the domain of large values, higher orders of µ
and also in observables which are higher µ derivatives of the thermodynamic potential. We
show that our new formalism of unbiased exponential resummation can eliminate these
biased estimates exactly upto a given order of µ, and can capture important contributions
of higher order Taylor series for all our working temperatures starting from hadronic phase
to the plasma phase, including the crossover region. We also demonstrate that this new
formalism is highly efficient in saving appreciable computational time and storage space
for computations
A Comparative Analysis between Unbiased Exponential Resummation and Taylor Expansion in Finite-Density QCD with a new phasefactor for Isospin
Full text linkThe recently introduced unbiased exponential resummation at finite chemical
potential has become an important approach which promises to capture reliably
the behaviour of higher order conserved charge cumulants appearing otherwise in
the finite-density QCD Taylor series of thermodynamic observables. In this
paper, we present a thorough analysis of the estimates of charge cumulants upto
eighth order and have compared them using Taylor expansion method and unbiased
exponential resummation approach for baryon and isospin chemical potentials. We
also subsequently compare the different estimates of the radius of convergence
obtained using these two methods and check if the zeros of phasefactor for
baryochemical potential can indicate something about these estimated values. We
propose a new method of finding a non-trivial phasefactor for isospin chemical
potential and we attempt explaining the different estimates of radius of
convergence from the zeroes of this newly constructed gauge-ensemble average
phasefactor for isospin chemical potential. Lastly, we also illustrate kurtosis
plots describing the behaviour of overlap problem in isospin chemical potential
and check if it maintains consistency with the appearance of zeros of the newly
proposed phasefactor.Comment: 24 pages, 8 figures; Plots revised, 1 extra figure added, the
sections of results and conclusions have been revise
Determination of Lattice QCD Equation of state at a finite chemical potential
Full text linkExponential resummation to all orders in is a promising scheme which
can capture contributions to all orders in by considering only the
first few Taylor coefficients in the Taylor expansion of thermodynamic
observables in lattice QCD. This approach however, gets affected by biased
estimates of -point correlation functions whose effects can
significantly hinder probe of finite density QCD. We present an unbiased
exponential resummation formalism, which can reproduce the Taylor series up to
the desired order in , besides retaining the original form of the
all-order resummation estimate of QCD partition function.Comment: 6 pages, 2 figures, Contribution to 25th DAE BRNS Symposium 12-16
December 202
QCD equation of state at finite chemical potential from unbiased exponential resummation of the lattice QCD Taylor series
Full text linkExponential resummation of the QCD finite-density Taylor series has been
recently introduced as an alternative way of resumming the finite-density
lattice QCD Taylor series. Unfortunately the usual exponential resummation
formula suffers from stochastic bias which must be subtracted before
identifying genuine higher-order contributions. In this paper, we present a new
way of subtracting the stochastic bias at the level of each individual gauge
configuration, up to a certain order of either the Taylor series or the
cumulant expansion, by modifying the argument of the exponential. Retaining the
exponential form of the resummation allows us to also calculate the phase
factor of the fermion determinant on each gauge configuration. We present our
results for the excess pressure, number density, and the average phase factor
and show that the new results contain less stochastic bias and are in better
agreement with the QCD Taylor series compared to the previous exponential
resummation.Comment: 11 pages, 17 figure
Towards a parameter-free analysis of the QCD chiral phase transition and its universal critical behavior
No full textMitra S, Karsch F. Towards a parameter-free analysis of the QCD chiral phase transition and its universal critical behavior. In: {26th DAE-BRNS High Energy Physics Symposium 2024}. 2025
Dataset for "Estimates of Lee-Yang zeros and a possible critical point on the pion condensate boundary in the QCD isospin phase diagram using an unbiased exponential resummation on the lattice"
No full textMitra S. Dataset for "Estimates of Lee-Yang zeros and a possible critical point on the pion condensate boundary in the QCD isospin phase diagram using an unbiased exponential resummation on the lattice". Bielefeld University; 2025
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Exponential Resummation of QCD at finite chemical potential
No full textMitra S. Exponential Resummation of QCD at finite chemical potential. arXiv:2307.05751. 2023.A comprehensive study of the QCD phase diagram is one of the challenging and
open problems in high energy physics. Having significant astrophysical
implications, this is also important in constructing the chronological
evolution of the universe. With this aim, this thesis describes the behaviour
of thermodynamic observables like pressure and number density with changing
chemical potential , through the method of an unbiased exponential
resummation of lower order Taylor series of these observables at a finite
. We address the problem of biased estimates, which manifest
uncontrollably in exponential resummation and which become severe in the domain
of large values, higher orders of and also in observables which are
higher derivatives of the thermodynamic potential. We show that our new
formalism of unbiased exponential resummation can eliminate these biased
estimates exactly upto a given order of , and can capture important
contributions of higher order Taylor series for all our working temperatures
starting from hadronic phase to the plasma phase, including the crossover
region. We also demonstrate that this new formalism is highly efficient in
saving appreciable computational time and storage space for computations
A Comparative Analysis between Unbiased Exponential Resummation and Taylor Expansion in Finite-Density QCD with a new phasefactor for Isospin
No full textMitra S. A Comparative Analysis between Unbiased Exponential Resummation and Taylor Expansion in Finite-Density QCD with a new phasefactor for Isospin. arXiv:2303.12063. 2023.The recently introduced unbiased exponential resummation at finite chemical
potential has become an important approach which promises to capture reliably
the behaviour of higher order conserved charge cumulants appearing otherwise in
the finite-density QCD Taylor series of thermodynamic observables. In this
paper, we present a thorough analysis of the estimates of charge cumulants upto
eighth order and have compared them using Taylor expansion method and unbiased
exponential resummation approach for baryon and isospin chemical potentials. We
also subsequently compare the different estimates of the radius of convergence
obtained using these two methods and check if the zeros of phasefactor for
baryochemical potential can indicate something about these estimated values. We
propose a new method of finding a non-trivial phasefactor for isospin chemical
potential and we attempt explaining the different estimates of radius of
convergence from the zeroes of this newly constructed gauge-ensemble average
phasefactor for isospin chemical potential. Lastly, we also illustrate kurtosis
plots describing the behaviour of overlap problem in isospin chemical potential
and check if it maintains consistency with the appearance of zeros of the newly
proposed phasefactor
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