19 research outputs found
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
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
Estimates of Lee-Yang zeros and critical point for finite isospin densities in (2+1)-flavor lattice QCD using unbiased exponential resummation
No full textMitra S. Estimates of Lee-Yang zeros and critical point for finite isospin densities in (2+1)-flavor lattice QCD using unbiased exponential resummation. Physical Review D 112, 014511 (2025) . 2025.Estimated using the unbiased exponential resummation formalism on
(2+1)-flavor QCD with physical quark masses on \Nt=8 lattice, we present the
first calculations of Lee-Yang zeros of QCD partition function in complex
isospin chemical potential \muI plane. From these zeros, we obtain the
resummed estimate of radius of convergence, which we compare with the
corresponding ratio and Mercer-Roberts estimates of the subsequent Taylor
series expansions of the first three cumulants. We also illustrate a
comparative study between the resummed and the Taylor series results of
different partition function cumulants for real and imaginary values of \muI,
discussing the behaviour of different expansion orders within and beyond the
so-obtained resummed estimate of radius of convergence. We show that the
reweighting factor and phasefactor begin to attain zero from this resummed
estimate of radius of convergence. In this paper, we crosscheck this
resummation methodology in baryochemical potential \muB and affirm its
validity in finite statistics limit. We also briefly compare this method with
Taylor and \pade resummation results in \muB. We also re-establish this
resummed radius of convergence can capture the onset of overlap problem for
finite real \muI simulations
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. arXiv:2501.13653. 2025.To quantify the universal properties of chiral phase transition in
(2+1)-flavor QCD, we use an improved, renormalized order parameter for the
chiral symmetry breaking. We construct ratios of this divergence-free order
parameter from its values for different pairs of light quark masses. From this,
we determine in a parameter-independent manner, the chiral phase transition
temperature and the associated critical exponent of the
universality class. We present first numerical results of these calculations on
lattices, with staggered fermions
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
Dataset for: "New way to resum the lattice QCD Taylor series equation of state at finite chemical potential"
No full textMitra S, Hegde P, Schmidt-Sonntag C. Dataset for: "New way to resum the lattice QCD Taylor series equation of state at finite chemical potential". Bielefeld University; 2022.Datapublication to reproduce all figure in ""New way to resum the lattice QCD Taylor series equation of state at finite chemical potential", accepted for publication in Phys. Rev. D, [arXiv: 2205.08517](https://arxiv.org/abs/2205.08517)
