Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feasibility of Reconstructing the Quintessential Potential Using SNIa
  Data   We investigate the feasibility of the method for reconstructing the equation
of state and the effective potential of the quintessence field from SNIa data.
We introduce a useful functional form to fit the luminosity distance with good
accuracy (the relative error is less than 0.1%). We assess the ambiguity in
reconstructing the equation of state and the effective potential which
originates from the uncertainty in $\Omega_M$. We find that the equation of
state is sensitive to the assumed $\Omega_M$, while the shape of the effective
potential is not. We also demonstrate the actual reconstruction procedure using
the data created by Monte-Carlo simulation. Future high precision measurements
of distances to thousands of SNIa could reveal the shape of the quintessential
potential.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph